Journal of Differential Equations

Papers
(The TQCC of Journal of Differential Equations is 4. 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 2021-12-01 to 2025-12-01.)
ArticleCitations
Singular solutions of complex vector fields on the Möbius band168
Unbounded solutions for asymmetric oscillations in the degenerate resonant case78
Sturmian measures can be sublinearly approximated by periodic measures68
Vertical and horizontal square functions on a class of non-doubling manifolds67
Concentration phenomenon of single phytoplankton species with changing-sign advection term63
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system62
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations60
Nonlinear Schrödinger equations with concave-convex nonlinearities59
On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition57
Uniqueness of cylindrically symmetric solutions for coupled Gross-Pitaevskii equations with totally degenerate potentials57
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity57
Positivity of temperature for some non-isothermal fluid models54
A generalized index theory for non-Hamiltonian system52
One-sided Hölder regularity of global weak solutions of negative order dispersive equations51
Partial functional differential equations and Conley index49
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group48
Editorial Board46
On the weighted inertia-energy approach to forced wave equations45
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system45
Editorial Board45
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors43
Editorial Board40
Editorial Board38
Fine asymptotic expansion of the ODE's flow37
Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups. II36
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space35
Global dynamics of Kato's solutions for the 3D incompressible micropolar system35
Editorial Board35
Asymptotic behavior of the Kuramoto system with periodic natural frequency34
Distribution of large value points via frequency and wellposedness of Navier-Stokes equations33
A new Chebyshev criterion and its application to planar differential systems33
Random dynamics of the stochastic Landau-Lifshitz-Bloch equation with colored noise in the real line33
Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat33
The number of Kaplan-Yorke periodic solutions for delay differential equations32
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel32
Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time32
Existence of large amplitude irrotational equatorial waves with flow force function31
One-phase free boundary solutions of finite Morse index30
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions30
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain30
Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation29
Linear asymptotic stability for the Couette flow in stratified fluid with high Richardson's number28
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice27
Asymptotic propagation of stochastic Fisher-KPP equation with Markovian switching27
Spatial propagation phenomena for diffusive SIS epidemic models27
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations27
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation27
Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy27
Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations26
Existence of smooth solutions for a class of Euclidean bosonic equations26
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games26
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols26
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions26
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation26
Varifold solutions of the two-phase three-dimensional magnetohydrodynamic equations25
Nonlinear stability of multi-solitons for the Hirota equation25
Multiple symmetric periodic solutions of differential systems with distributed delay25
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations25
Global solvability for nonlinear wave equations with singular potential25
Existence and stability of positive solutions in a parabolic problem with a nonlinear incoming flux on the boundary25
Existence and nonexistence of stable patterns in semilinear nonlocal diffusion equations24
Dissipative solutions and Markov selection to the complete stochastic Euler system24
Bifurcations in the diffusive Bazykin model23
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity23
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients23
L estimates for the Caffarelli-Silvestre extension operators23
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching23
Weak Harnack inequality for a mixed local and nonlocal parabolic equation23
On the exponential stability of Beck's Problem on a star-shaped graph23
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator23
Miura transformations and large-time behaviors of the Hirota-Satsuma equation22
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields22
Homoclinic bifurcation near a loop tangent to an invariant straight line22
Editorial Board22
Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary21
A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results21
The graph limit for a pairwise competition model21
Existence of planar non-symmetric stationary flows with large flux in an exterior disk21
Dynamics for a nonlocal logistic equation with a sedentary compartment and free boundary21
Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum20
Asymptotic behavior for the fast diffusion equation with absorption and singularity20
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time20
L2-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations19
Optimal decay estimates for the radially symmetric compressible Navier-Stokes equations19
From finite to continuous phenotypes in (visco-)elastic tissue growth models19
Effective medium theory for Van-der-Waals heterostructures19
Transmission problems for simply connected domains in the complex plane19
Attractors for a Kirchhoff model with degenerate stiffness factor and nonlinear boundary conditions18
Dynamics of a wave equation with memory and Hardy type potentials18
Wong-Zakai approximations and support theorem for reflected SDEs with path-dependent coefficients18
On the study of optimal control problems with irregular constraints18
Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on 18
Editorial Board18
Almost sure rates of mixing for partially hyperbolic attractors18
Singular backward stochastic Volterra integral equations in infinite dimensional spaces18
On ergodic control problem for viscous Hamilton–Jacobi equations for weakly coupled elliptic systems17
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity17
Critical Schrödinger equations with Stein-Weiss convolution parts in R17
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains17
Null-controllability for the beam equation with structural damping. Part 1. Distributed control17
On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics17
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms17
Bifurcation structure and stability of steady gravity water waves with constant vorticity17
A new reformulation of the Muskat problem with surface tension16
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients16
L -maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders16
Qualitative properties for a system coupling scaled mean curvature flow and diffusion16
Corrigendum to “Metastability of the Cahn–Hilliard equation in one space dimension” [J. Differ. Equ. 265 (4) (2018) 1528–1575]16
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity16
A Liouville type theorem for a scaling invariant parabolic system with no gradient structure16
Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity16
H1+ estimates for the fully nonlinear parabolic thin obstacle problem16
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups16
Energy formulae for fractional Schrödinger-Poisson system16
Fine phase mixtures in one-dimensional non-convex elastodynamics15
Period estimates for autonomous evolution equations with Lipschitz nonlinearities15
The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model15
Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator15
Nonsmooth regular perturbations of singularly perturbed problems15
The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines15
Editorial Board15
Convergence to SPDEs for second order evolutionary equation with singular short–range correlated potential15
Three-spectra inverse problem for the perturbed Bessel operators15
The Fujita critical exponent for one-dimensional semilinear heat equations with potentials and space-dependent nonlinearities15
Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials15
Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats15
The Poincaré maps of a slow-fast stochastic system15
First-order perturbation for multi-parameter center families15
L-estimates for parabolic equations in divergence form with a half-time derivative15
Inhomogeneous wave equation with t-dependent singular coefficients15
Large time behavior for MHD micropolar fluids in R15
Solving the axisymmetric Navier-Stokes equations in critical spaces (I): The case with small swirl component15
Quantitative estimates for Lévy driven SDEs with different drifts and applications14
A strongly degenerate fully nonlinear mean field game with nonlocal diffusion14
The initial-boundary value problem for the nonlinear Schrödinger equation with the nonlinear Neumann boundary condition on the half-line14
On Fila-King conjecture in dimension four14
The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone14
Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion14
Singularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields14
The double phase problems on lattice graphs14
Global well-posedness of the energy-critical stochastic nonlinear wave equations14
Invariant measures of stochastic Maxwell equations and ergodic numerical approximations14
Sturm–Liouville M-functions in terms of Green's functions14
Existence and stability of periodic solutions in a mosquito population suppression model with time delay14
Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data14
Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains14
Effect of advection on the predator-prey dynamics with a drift-feeding predator14
Curved fronts for a Belousov-Zhabotinskii system in exterior domains14
Dynamical and variational properties of the NLS-δs14
Local existence of the outer parabolic stochastic Stefan problem on the sphere14
Optimal decay rates for the compressible Navier–Stokes equations with density–dependent viscosities14
End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces14
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations14
Poisson stable solutions for stochastic PDEs driven by Lévy noise14
Traveling waves and their spectral instability in volume–filling chemotaxis model14
The field-road diffusion model: Fundamental solution and asymptotic behavior14
A new regularity criterion for the 2D non-resistive incompressible MHD equations14
Bloch spectra for high contrast elastic media14
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with 14
Hydrodynamic limit of Boltzmann equations for gas mixture13
Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers13
Full asymptotic expansion of the permeability matrix of a dilute periodic porous medium13
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations13
Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion13
Time-dependent incompressible viscous flows around a rigid body: Estimates of spatial decay independent of boundary conditions13
Analysis of a radial free boundary tumor model with time-dependent absorption efficiency13
On limit measures and their supports for stochastic ordinary differential equations13
Schrödinger equation on non-compact symmetric spaces13
Decay estimates of positive finite energy solutions to quasilinear and fully nonlinear systems in 13
Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle13
The spectrum for the p-Laplacian systems with rotating periodic boundary value conditions and applications13
Editorial Board13
Born-Infeld problem with general nonlinearity13
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivatives13
Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth13
Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation13
Bounded and periodic solutions of quasilinear parabolic equations in time-dependent domains13
Rigidity of Lyapunov exponents for geodesic flows13
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity13
Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids13
Editorial Board13
Dynamics of wavefronts to a coarse-grained model with volume-filling cell invasion13
Nonlinear stochastic wave equation driven by rough noise13
Characterising blenders via covering relations and cone conditions13
A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters12
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities12
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction12
Existence of solutions to a fully nonlinear free transmission problem12
On a class of superlinear obstacle problems12
Dynamics of the nonlocal KPP equation: Effects of a new free boundary condition12
3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy12
Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation12
The second Dirichlet eigenvalue is simple on every non-equilateral triangle, Part I: Nearly degenerate triangles12
A compactness condition for the theorem of sums in a class of non-uniformly elliptic PDEs12
Stability of single transition layer in mass-conserving reaction-diffusion systems with bistable nonlinearity12
Rotation sets and rotational entropy for random dynamical systems on the torus12
On the Dirichlet problem for second order elliptic systems in the ball12
On solutions to the 3D generalized MHD equations with nonlinear damping terms12
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth12
Dynamic boundary flux-driven shallow waters: Insights from a dissipative-dispersive system12
Elliptic equations in 12
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence12
Strong solutions to a fourth order exponential PDE describing epitaxial growth12
Fine profiles of positive solutions for some nonlocal dispersal equations12
Nonlocal elliptic problems with nonhomogeneous nonlinearities via nonlinear Rayleigh quotient in 12
The Landau and non-cutoff Boltzmann equations in union of cubes12
Liouville type theorems for the generalized higher order Choquard-Pekar equation12
Path independence for the additive functionals of stochastic Volterra equations with singular kernels and Hölder continuous coefficients12
Editorial Board12
Traveling waves to a chemotaxis-growth model with Allee effect12
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface12
Long-time existence for semilinear wave equations with the inverse-square potential12
Analytical study of a generalised Dirichlet–Neumann operator and application to three-dimensional water waves on Beltrami flows12
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction12
Invariant manifolds of 3D piecewise vector fields11
Maslov-type (L,P)-index and subharmonic P-symmetric brake solutions for Hamiltonian systems11
Weighted maximal regularity estimates of higher order elliptic systems on Lipschitz domains11
On the positive periodic solutions of a class of Liénard equations with repulsive singularities in degenerate case11
Existence and dynamics of normalized solutions to Schrödinger equations with generic double-behaviour nonlinearities11
A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral11
Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries11
Large deviations for (1 + 1)-dimensional stochastic geometric wave equation11
Exponential stabilization on infinite dimensional system with impulse controls11
Invariant tori of rectilinear type in the spatial three-body problem11
On the asymptotic stability on the line of ground states of the pure power NLS with 0 ≤ 2 − p ≪ 111
Conditional uniqueness of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit11
Polynomial normal forms for ODEs near a center-saddle equilibrium point11
Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line11
Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions11
Sharp large time behaviour in N-dimensional reaction-diffusion equations of bistable type11
Stabilization of nonlinear non-uniform piezoelectric beam with time-varying delay in distributed control input11
Normalized solutions for nonlinear Schrödinger equations involving mass subcritical and supercritical exponents11
Singular degenerate SDEs: Well-posedness and exponential ergodicity11
A result of existence of global weak solutions of a viscous Saint-Venant-Exner model11
Global existence and estimates for Blackstock's model of thermoviscous flow with second sound phenomena11
Global bifurcation structure and some properties of steady periodic water waves with vorticity11
Normal forms of hyperbolic logarithmic transseries11
Controllability of quasi-linear Hamiltonian Schrödinger equations on tori11
Variation of constants formulae for forward and backward stochastic Volterra integral equations10
Vanishing viscosity limit of compressible viscoelastic equations in half space10
Optimal decay of compressible Navier-Stokes equations with or without potential force10
Regularity criteria for weak solutions to the 3d co-rotational Beris-Edwards system via the pressure10
Energy conservation law for weak solutions of the full compressible Navier-Stokes equations10
Probability distance estimates between diffusion processes and applications to singular McKean-Vlasov SDEs10
Propagation dynamics of cooperative reaction-diffusion systems in a periodic shifting environment10
Partial regularity for degenerate systems of double phase type10
Asymptotic stability of rarefaction wave with non-slip boundary condition for radiative Euler flows10
Quasilinear parabolic equations with superlinear nonlinearities in critical spaces10
Spatiotemporal patterns and bifurcations of a delayed diffusive predator-prey system with fear effects10
An application of Sobolev's inequality to one-dimensional Kirchhoff equations10
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