Journal of Differential Equations

Papers
(The median citation count of Journal of Differential Equations is 1. 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 2022-06-01 to 2026-06-01.)
ArticleCitations
Singular solutions of complex vector fields on the Möbius band195
Positivity of temperature for some non-isothermal fluid models87
A generalized index theory for non-Hamiltonian system75
One-sided Hölder regularity of global weak solutions of negative order dispersive equations74
Editorial Board73
Editorial Board72
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system71
Editorial Board69
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors69
Editorial Board53
Fine asymptotic expansion of the ODE's flow50
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space49
Editorial Board48
Distribution of large value points via frequency and wellposedness of Navier-Stokes equations46
Large solutions of elliptic equations with fully nonlinear conformally invariant operators43
Random dynamics of the stochastic Landau-Lifshitz-Bloch equation with colored noise in the real line43
Dissipative solutions and Markov selection to the complete stochastic Euler system43
Nonlinear stability of multi-solitons for the Hirota equation42
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols39
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations38
Sturmian measures can be sublinearly approximated by periodic measures37
Linear asymptotic stability for the Couette flow in stratified fluid with high Richardson's number35
Editorial Board34
Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy33
McGehee blowup for Lagrangian systems and instability of equilibria33
Existence of smooth solutions for a class of Euclidean bosonic equations33
Concentration phenomenon of single phytoplankton species with changing-sign advection term33
Partial functional differential equations and Conley index32
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients31
Bifurcations in the diffusive Bazykin model31
Multiple symmetric periodic solutions of differential systems with distributed delay30
Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity29
Boundary conditions for hyperbolic relaxation systems with characteristic boundaries29
Existence and stability of positive solutions in a parabolic problem with a nonlinear incoming flux on the boundary28
Existence of large amplitude irrotational equatorial waves with flow force function28
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system28
Symplectic techniques for stochastic differential equations on reductive Lie groups with applications to Langevin diffusions28
Global dynamics of Kato's solutions for the 3D incompressible micropolar system27
Asymptotic propagation of stochastic Fisher-KPP equation with Markovian switching27
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions27
Editorial Board27
Global solvability for nonlinear wave equations with singular potential27
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation27
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations27
Existence and nonexistence of stable patterns in semilinear nonlocal diffusion equations26
The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus26
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations25
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity25
On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition25
Asymmetric front propagation for the bistable reaction-diffusion equation on a metric graph24
A new Chebyshev criterion and its application to planar differential systems24
Vertical and horizontal square functions on a class of non-doubling manifolds23
Nonlinear Schrödinger equations with concave-convex nonlinearities23
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator23
On the exponential stability of Beck's Problem on a star-shaped graph23
Spatial propagation phenomena for diffusive SIS epidemic models23
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation23
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group22
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching22
Miura transformations and large-time behaviors of the Hirota-Satsuma equation22
Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time21
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in C1, open sets21
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain21
Uniqueness of cylindrically symmetric solutions for coupled Gross-Pitaevskii equations with totally degenerate potentials21
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel21
On the weighted inertia-energy approach to forced wave equations21
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice21
The number of Kaplan-Yorke periodic solutions for delay differential equations21
Wave equation with nonlinear damping and super-cubic nonlinearity21
Null controllability of the 1D heat equation with interior inverse square potential20
Large time stabilization of rough-data solutions in one-dimensional nonlinear thermoelasticity20
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions20
One-phase free boundary solutions of finite Morse index20
Weak Harnack inequality for a mixed local and nonlocal parabolic equation20
Homoclinic bifurcation near a loop tangent to an invariant straight line20
Evolution of movement strategies in patchy landscapes20
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games20
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity20
Editorial Board19
Optimal decay rates for the compressible Navier–Stokes equations with density–dependent viscosities19
Existence of planar non-symmetric stationary flows with large flux in an exterior disk19
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time19
Dynamics for a nonlocal logistic equation with a sedentary compartment and free boundary19
The graph limit for a pairwise competition model18
Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data18
Optimal decay estimates for the radially symmetric compressible Navier-Stokes equations18
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields18
Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator18
On the study of optimal control problems with irregular constraints18
Editorial Board18
H1+ estimates for the fully nonlinear parabolic thin obstacle problem17
Bifurcation structure and stability of steady gravity water waves with constant vorticity17
A Liouville type theorem for a scaling invariant parabolic system with no gradient structure17
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms17
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients17
Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on 17
On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics17
Qualitative properties for a system coupling scaled mean curvature flow and diffusion16
L-estimates for parabolic equations in divergence form with a half-time derivative16
Editorial Board16
The field-road diffusion model: Fundamental solution and asymptotic behavior16
Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats16
Convergence to SPDEs for second order evolutionary equation with singular short–range correlated potential16
Fine phase mixtures in one-dimensional non-convex elastodynamics16
L -maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders16
Curved fronts for a Belousov-Zhabotinskii system in exterior domains16
Poisson stable solutions for stochastic PDEs driven by Lévy noise16
Traveling waves and their spectral instability in volume–filling chemotaxis model16
The Poincaré maps of a slow-fast stochastic system16
A new reformulation of the Muskat problem with surface tension16
Nonsmooth regular perturbations of singularly perturbed problems16
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity16
Null-controllability for the beam equation with structural damping. Part 1. Distributed control16
Entropy production in general balance laws15
Singular backward stochastic Volterra integral equations in infinite dimensional spaces15
Validity of Prandtl boundary layer ansatz for non-isentropic MHD equations in Sobolev space15
Asymptotic behavior for the fast diffusion equation with absorption and singularity15
Global existence for systems of 2-D wave equations with nonlinearity of the wave maps type in exterior domains15
Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains15
The Fujita critical exponent for one-dimensional semilinear heat equations with potentials and space-dependent nonlinearities15
Dynamics of a wave equation with memory and Hardy type potentials15
Effective medium theory for Van-der-Waals heterostructures15
L2-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations15
Weyl's law and estimates of eigenvalues for fractional sub-Laplacian operators on Carnot groups15
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity15
Three-spectra inverse problem for the perturbed Bessel operators15
On physically grounded boundary conditions for the compressible MHD system15
On Fila-King conjecture in dimension four15
The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines15
Variational construction of asymptotic orbits in contact Hamiltonian systems15
Wong-Zakai approximations and support theorem for reflected SDEs with path-dependent coefficients15
Effect of advection on the predator-prey dynamics with a drift-feeding predator15
Critical Schrödinger equations with Stein-Weiss convolution parts in R15
Energy formulae for fractional Schrödinger-Poisson system15
Long-time dynamics of McKean-Vlasov stochastic reaction-diffusion equations on 15
A relation between the Dirichlet and the Regularity problem for parabolic equations14
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations14
A new regularity criterion for the 2D non-resistive incompressible MHD equations14
A new proof of the 14
The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model14
H2-regularity for stationary and non-stationary Bingham problems with perfect slip boundary condition14
Global well-posedness of the energy-critical stochastic nonlinear wave equations14
From finite to continuous phenotypes in (visco-)elastic tissue growth models14
Transmission problems for simply connected domains in the complex plane14
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups14
On a thermodynamically consistent diffuse interface model for two-phase incompressible flows with non-matched densities: Dynamics of moving contact lines, surface diffusion, and mass transfer14
The initial-boundary value problem for the nonlinear Schrödinger equation with the nonlinear Neumann boundary condition on the half-line14
Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum14
Well-posedness, regularity and longtime dynamics for the quasi-linear hyperbolic equation with structural damping14
Corrigendum to “Metastability of the Cahn–Hilliard equation in one space dimension” [J. Differ. Equ. 265 (4) (2018) 1528–1575]14
A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results14
Attractors for a Kirchhoff model with degenerate stiffness factor and nonlinear boundary conditions14
The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone14
Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary14
Dispersive effective metasurface model for bubbly media14
Sturm–Liouville M-functions in terms of Green's functions14
Traveling waves to a chemotaxis-growth model with Allee effect13
Local existence of the outer parabolic stochastic Stefan problem on the sphere13
Invariant measures of stochastic Maxwell equations and ergodic numerical approximations13
Time-dependent incompressible viscous flows around a rigid body: Estimates of spatial decay independent of boundary conditions13
Conformally weighted Einstein manifolds: The uniqueness problem13
Editorial Board13
Singularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields13
The double phase problems on lattice graphs13
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with 13
Nonlocal elliptic problems with nonhomogeneous nonlinearities via nonlinear Rayleigh quotient in 13
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence13
Hypocoercivity for the non-linear semiconductor Boltzmann equation13
Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle13
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction13
3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy13
Elliptic equations in 13
Rigidity of Lyapunov exponents for geodesic flows13
Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion13
Editorial Board13
On limit measures and their supports for stochastic ordinary differential equations13
Rotation sets and rotational entropy for random dynamical systems on the torus12
Fine profiles of positive solutions for some nonlocal dispersal equations12
Full asymptotic expansion of the permeability matrix of a dilute periodic porous medium12
The spectrum for the p-Laplacian systems with rotating periodic boundary value conditions and applications12
Path independence for the additive functionals of stochastic Volterra equations with singular kernels and Hölder continuous coefficients12
Stability and instability of a generic compressible two-fluid model with equal pressures12
Global existence and eventual smoothness of a nutrient consumption system involving local sensing and proliferation12
Global well-posedness and blow-up for the fifth order L2-critical KP-I equation12
Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers12
Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation12
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction12
Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation12
Uniqueness and nonuniqueness of p-harmonic Green functions on weighted R and metric spaces12
A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters12
On the Dirichlet problem for second order elliptic systems in the ball12
Hölder regularity for nonlocal in time subdiffusion equations with general kernel12
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations12
Editorial Board12
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity12
Decay estimates of positive finite energy solutions to quasilinear and fully nonlinear systems in 12
Analytical study of a generalised Dirichlet–Neumann operator and application to three-dimensional water waves on Beltrami flows12
A strongly degenerate fully nonlinear mean field game with nonlocal diffusion11
Hydrodynamic limit of Boltzmann equations for gas mixture11
Dynamics of the nonlocal KPP equation: Effects of a new free boundary condition11
Corrigendum to: “Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications” [J. Differ. Equ. 268 (12) (2020) 7669–7714]11
The Landau and non-cutoff Boltzmann equations in union of cubes11
The second Dirichlet eigenvalue is simple on every non-equilateral triangle, Part I: Nearly degenerate triangles11
Bounded and periodic solutions of quasilinear parabolic equations in time-dependent domains11
End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces11
Nonlinear stochastic wave equation driven by rough noise11
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface11
Weighted maximal regularity estimates of higher order elliptic systems on Lipschitz domains11
Stability of single transition layer in mass-conserving reaction-diffusion systems with bistable nonlinearity11
Periodic solutions of the forced conservative pendulum with relativistic acceleration and derivative dependent coefficient11
Liouville type theorems for the generalized higher order Choquard-Pekar equation11
Analysis of a radial free boundary tumor model with time-dependent absorption efficiency11
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivatives11
On solutions to the 3D generalized MHD equations with nonlinear damping terms11
Quantitative estimates for Lévy driven SDEs with different drifts and applications11
Dynamic boundary flux-driven shallow waters: Insights from a dissipative-dispersive system11
Editorial Board11
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth11
Born-Infeld problem with general nonlinearity11
Characterising blenders via covering relations and cone conditions11
A compactness condition for the theorem of sums in a class of non-uniformly elliptic PDEs11
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities11
Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth11
Dynamics of wavefronts to a coarse-grained model with volume-filling cell invasion11
Schrödinger equation on non-compact symmetric spaces11
Bloch spectra for high contrast elastic media11
On a class of superlinear obstacle problems11
Global well-posedness and dynamic behavior of pantograph delay differential equations10
Invariant manifolds of 3D piecewise vector fields10
Nonlinear wave interactions in geochemical modeling10
Hyperbolic systems of balance laws with stiff source10
Liouville theorem for Lane-Emden equation of Baouendi-Grushin operators10
Maslov-type (L,P)-index and subharmonic P-symmetric brake solutions for Hamiltonian systems10
Concentrating ground state for linearly coupled Schrödinger systems involving critical exponent cases10
Editorial Board10
Biological populations as stationary distributions in the space of genotypes10
Propagation dynamics for a class of integro-difference equations in a shifting environment10
Exponential decay of random correlations for random Anosov systems mixing on fibers10
On the asymptotic stability on the line of ground states of the pure power NLS with 0 ≤ 2 − p ≪ 110
Sharp large time behaviour in N-dimensional reaction-diffusion equations of bistable type10
Singular degenerate SDEs: Well-posedness and exponential ergodicity10
Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line10
Flows driven by multi-indices rough paths10
Dimension approximation for diffeomorphisms preserving hyperbolic SRB measures10
Existence of a periodic solution for superlinear second order ODEs10
Editorial Board10
Gradient continuity for p(x)-Laplacian systems under minimal conditions on the exponent10
Energy conservation law for weak solutions of the full compressible Navier-Stokes equations10
On the Korteweg-de Vries limit for the Boussinesq equation10
Construction of a two-phase flow with singular energy by gradient flow methods10
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