Journal of Differential Equations

Papers
(The median citation count of Journal of Differential Equations is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-04-01 to 2024-04-01.)
ArticleCitations
Normalized ground states for the NLS equation with combined nonlinearities137
Existence and uniqueness results for double phase problems with convection term101
Global asymptotic stability in an interactive wild and sterile mosquito model76
A new class of double phase variable exponent problems: Existence and uniqueness68
Threshold behavior in a stochastic algal growth model with stoichiometric constraints and seasonal variation65
Global existence and blow up of solutions for pseudo-parabolic equation with singular potential62
Far-field asymptotics for multiple-pole solitons in the large-order limit57
Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold56
Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model53
The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system53
Global existence for a kinetic model of pattern formation with density-suppressed motilities52
Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth51
Global dynamics of a three-species spatial food chain model50
An inverse problem for a semi-linear elliptic equation in Riemannian geometries49
Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations49
Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response48
Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations45
Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions45
Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis43
On the analyticity of the MGT-viscoelastic plate with heat conduction43
Trajectory statistical solutions and Liouville type equations for evolution equations: Abstract results and applications40
Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity40
Non-autonomous nonlocal partial differential equations with delay and memory39
Global dynamics for an attraction-repulsion chemotaxis model with logistic source39
Multiplicity-induced-dominancy for delay-differential equations of retarded type39
An existence result for singular Finsler double phase problems38
Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis38
Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition38
Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces38
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations37
Dynamic analysis of a plant-water model with spatial diffusion36
Periodic measures of stochastic delay lattice systems36
Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions36
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy35
Existence and asymptotic behavior of positive solutions for Kirchhoff type problems with steep potential well35
The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case35
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction35
Long-time asymptotic behavior for the complex short pulse equation35
On Lotka-Volterra competitive parabolic systems: Exclusion, coexistence and bistability34
On the modelling of large-scale atmospheric flow34
Global behavior of a reaction-diffusion model with time delay and Dirichlet condition33
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations33
The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries32
Global and blow-up solutions for compressible Euler equations with time-dependent damping31
Global analysis in Bazykin's model with Holling II functional response and predator competition31
Eigenvalues and minimizers for a non-standard growth non-local operator31
A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization30
Existence and stability of periodic solutions in a mosquito population suppression model with time delay30
Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time30
A multiscale model for traffic regulation via autonomous vehicles30
Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition30
Ground states for planar Hamiltonian elliptic systems with critical exponential growth30
Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations30
Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations29
On the planar Choquard equation with indefinite potential and critical exponential growth29
A predator-prey system with generalized Holling type IV functional response and Allee effects in prey28
Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility28
Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems28
Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation27
Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source27
Permanence and extinction for the stochastic SIR epidemic model26
Mixed types of waves in a discrete diffusive epidemic model with nonlinear incidence and time delay26
Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation26
Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling25
The entry-exit theorem and relaxation oscillations in slow-fast planar systems25
Spatial movement with diffusion and memory-based self-diffusion and cross-diffusion25
Asymptotic stability in a fully parabolic quasilinear chemotaxis model with general logistic source and signal production25
Maximum principles and monotonicity of solutions for fractional p-equations in unbounded domains25
Soliton resolution for the short-pulse equation25
Random attractors for locally monotone stochastic partial differential equations25
Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat24
Averaging principle for fast-slow system driven by mixed fractional Brownian rough path24
Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces24
Differential inclusions in Wasserstein spaces: The Cauchy-Lipschitz framework24
Ill-posedness for the Camassa-Holm and related equations in Besov spaces24
Global dynamics of a nonlocal periodic reaction-diffusion model of bluetongue disease23
Random periodic processes, periodic measures and ergodicity23
Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility23
Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data23
Singular solutions of a p-Laplace equation involving the gradient23
Hopf bifurcation in a reaction-diffusion-advection equation with nonlocal delay effect22
Random recurrent neural networks with delays22
Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities22
Bound state nodal solutions for the non-autonomous Schrödinger–Poisson system in 22
Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions22
Global well-posedness and uniform boundedness of urban crime models: One-dimensional case22
The dynamics of traveling waves for a nonlinear Belousov-Zhabotinskii system22
Instability of H1-stable peakons in the Camassa–Holm equation21
Sigmoidal approximations of Heaviside functions in neural lattice models21
Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications21
Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation21
Normalized concentrating solutions to nonlinear elliptic problems21
On enhanced dissipation for the Boussinesq equations21
Global solutions to a 3D chemotaxis-Stokes system with nonlinear cell diffusion and Robin signal boundary condition21
Small linear perturbations of fractional Choquard equations with critical exponent21
Bifurcation methods of periodic orbits for piecewise smooth systems21
Painlevé-type asymptotics of an extended modified KdV equation in transition regions21
Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces20
Well-posedness for the Brinkman–Cahn–Hilliard system with unmatched viscosities20
Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux20
Global well-posedness of logarithmic Keller-Segel type systems20
Boundedness of weak solutions of a chemotaxis-Stokes system with slow p-Laplacian diffusion20
Partial regularity of solutions to p(x)-Laplacian PDEs with discontinuous coefficients19
Singular perturbations of the Holling I predator-prey system with a focus19
On oscillatory solutions to the complete Euler system19
Double phase Dirichlet problems with unilateral constraints19
Persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal19
Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions19
Complex dynamics in a delay differential equation with two delays in tick growth with diapause19
Normalized solutions to mass supercritical Schrödinger equations with negative potential19
A nonsmooth maximum principle for a controlled nonconvex sweeping process19
Stokes and Navier-Stokes equations with Navier boundary conditions19
Long-time dynamics for a fractional piezoelectric system with magnetic effects and Fourier's law19
Existence, uniqueness and approximate controllability of abstract differential equations with state-dependent delay19
Positive periodic solutions to an indefinite Minkowski-curvature equation18
Optimal attractors of the Kirchhoff wave model with structural nonlinear damping18
Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity18
On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity18
On the effect of lowering population's movement to control the spread of an infectious disease18
On well-posed isoperimetric-type constrained variational control problems18
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth18
Polynomial stability of the Rao-Nakra beam with a single internal viscous damping17
Normalized solution to the Schrödinger equation with potential and general nonlinear term: Mass super-critical case17
Spatial dynamics of a dengue transmission model in time-space periodic environment17
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift17
Global dynamics of a Lotka-Volterra competition-diffusion system in advective homogeneous environments17
Asymptotic stability in a quasilinear chemotaxis-haptotaxis model with general logistic source and nonlinear signal production17
Symmetry-breaking bifurcation for a free-boundary tumor model with time delay17
Unlimited growth in logarithmic Keller-Segel systems17
Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions17
Stochastic Camassa-Holm equation with convection type noise16
Local well-posedness for the Hall-MHD system in optimal Sobolev spaces16
Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma16
Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach16
Continuous spectrum for a two phase eigenvalue problem with an indefinite and unbounded potential16
Global boundedness and large time behavior of a chemotaxis system with indirect signal absorption16
Lower bounds for the local cyclicity for families of centers16
Spreading speed for some cooperative systems with nonlocal diffusion and free boundaries, part 1: Semi-wave and a threshold condition16
Asymptotics for the Sasa–Satsuma equation in terms of a modified Painlevé II transcendent16
On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation16
Harnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature bounds15
Synchronization of Kuramoto oscillators with time-delayed interactions and phase lag effect15
Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space15
Entire solutions of diffusive Lotka-Volterra system15
On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case15
Inverse problems for heat equation and space–time fractional diffusion equation with one measurement15
Bifurcation analysis in a diffusive predator-prey model with spatial memory of prey, Allee effect and maturation delay of predator15
Multitype bistability and long transients in a delayed spruce budworm population model15
Integrability and linearizability of cubic Z2 systems with non-resonant singular points15
Multi-bump solutions for the nonlinear magnetic Choquard equation with deepening potential well15
Backward doubly stochastic Volterra integral equations and their applications15
Normalized solutions for the fractional NLS with mass supercritical nonlinearity15
Positive maximal and minimal solutions for non-homogeneous elliptic equations depending on the gradient15
Symmetry and monotonicity of singular solutions of double phase problems15
Basic reproduction ratios for almost periodic compartmental models with time delay15
Boundary pointwise C1, and C2, regularity for fully nonlinear elliptic equations15
An averaging principle for two-time-scale stochastic functional differential equations15
Bismut formula for Lions derivative of distribution-path dependent SDEs15
Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities15
Bifurcations in Holling-Tanner model with generalist predator and prey refuge15
Global boundedness of weak solutions for a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and rotation14
Existence and asymptotic behavior of ground state solutions for Schrödinger equations with Hardy potential and Berestycki-Lions type conditions14
Global well-posedness for the Hall-magnetohydrodynamics system in larger critical Besov spaces14
Solvability in the sense of sequences for some fourth order non-Fredholm operators14
Existence of solutions for a class of fractional elliptic problems on exterior domains14
Mean-field and graph limits for collective dynamics models with time-varying weights14
Impulsive control of nonlocal transport equations14
Steady hydrodynamic model of semiconductors with sonic boundary and transonic doping profile14
Optimal control strategies for the sterile mosquitoes technique14
Normal form formulations of double-Hopf bifurcation for partial functional differential equations with nonlocal effect14
Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy14
Further results on generalized Holmgren's principle to the Lamé operator and applications14
Asymptotic propagations of asymptotical monostable type equations with shifting habitats14
Analysis of a reaction-diffusion benthic-drift model with strong Allee effect growth14
Strong solutions of the equations for viscoelastic fluids in some classes of large data14
A class large solution of the 3D Hall-magnetohydrodynamic equations14
High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents14
A geometric method for infinite-dimensional chaos: Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line14
Smoothing and stabilization effects of magnetic field on electrically conducting fluids14
Global bounded weak solutions for a chemotaxis-Stokes system with nonlinear diffusion and rotation14
Energy conservation for inhomogeneous incompressible and compressible Euler equations13
Stacked invasion waves in a competition-diffusion model with three species13
Global existence and boundedness of a forager-exploiter system with nonlinear diffusions13
New wave-breaking criteria for the Fornberg-Whitham equation13
Pathwise mild solutions for quasilinear stochastic partial differential equations13
Limit models for thin heterogeneous structures with high contrast13
Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms13
Well posedness of the nonlinear Schrödinger equation with isolated singularities13
Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation13
A primal-dual dynamical approach to structured convex minimization problems13
Schrödinger operators with Leray-Hardy potential singular on the boundary13
Global unique solvability of nonhomogeneous asymmetric fluids: A Lagrangian approach13
On self-adjoint boundary conditions for singular Sturm–Liouville operators bounded from below13
Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion13
Topological entropy of nonautonomous dynamical systems13
Inverse problems for elliptic equations with fractional power type nonlinearities13
Traveling wave solutions to the density-suppressed motility model13
Generalized Huygens' principle for bipolar non-isentropic compressible Navier-Stokes-Poisson system in dimension three13
Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces13
Wong-Zakai approximations and periodic solutions in distribution of dissipative stochastic differential equations13
The Hunter–Saxton equation with noise13
Boundedness in a chemotaxis-fluid system involving a saturated sensitivity and indirect signal production mechanism13
Stochastic functional Kolmogorov equations II: Extinction13
Singularly perturbed boundary-focus bifurcations13
Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations13
Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space13
Low energy nodal solutions to the Yamabe equation13
Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs13
Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations13
Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity13
Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities12
Uniform decay estimates for solutions of a class of retarded integral inequalities12
Radon measure solutions for steady compressible Euler equations of hypersonic-limit conical flows and Newton's sine-squared law12
Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions12
Gromov-Hausdorff stability of global attractors of reaction diffusion equations under perturbations of the domain12
Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain12
Bifurcations in a diffusive resource-consumer model with distributed memory12
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion12
Concentration of solutions for fractional double-phase problems: critical and supercritical cases12
Generalized hyperbolicity and shadowing in L spaces12
Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction12
Asymptotic stability of the 2D Boussinesq equations without thermal conduction12
On the Dirichlet problem for general augmented Hessian equations12
Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients12
Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity12
Averaging principle for distribution dependent stochastic differential equations driven by fractional Brownian motion and standard Brownian motion12
A structure theorem for polyharmonic maps between Riemannian manifolds12
Existence, persistence, and continuation of solutions for a generalized 0-Holm-Staley equation12
On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction12
Fractional-feedback stabilization for a class of evolution systems12
On self-similar solutions to the incompressible Euler equations12
Hopf–Zero bifurcation in an age-dependent predator–prey system with Monod–Haldane functional response comprising strong Allee effect12
Boundedness and asymptotic behavior in a Keller-Segel(-Navier)-Stokes system with indirect signal production12
Spreading dynamics of a Lotka-Volterra competition model in periodic habitats12
Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations12
Geometric singular perturbation analysis to Camassa-Holm Kuramoto-Sivashinsky equation12
A Zvonkin's transformation for stochastic differential equations with singular drift and applications12
Interaction of Dirac δ-waves in the nonlinear Klein-Gordon equation12
A short proof of Boundary Harnack Principle12
The generalised principal eigenvalue of time-periodic nonlocal dispersal operators and applications12
Global well-posedness of a Navier–Stokes–Cahn–Hilliard system with chemotaxis and singular potential in 2D12
Optimal decay rates of isentropic compressible Navier-Stokes equations with discontinuous initial data12
Steady periodic waves and formal stability for fixed-depth rotational equatorial flows12
An inverse boundary value problem for certain anisotropic quasilinear elliptic equations12
Another look at planar Schrödinger-Newton systems12
A flow force reformulation for steady irrotational water waves12
On inhibition of the Rayleigh–Taylor instability by a horizontal magnetic field in ideal MHD fluids with velocity damping12
Global small analytic solutions of MHD boundary layer equations12
Well-posedness of the 3D stochastic primitive equations with multiplicative and transport noise12
Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator12
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