Journal of Differential Equations

Papers
(The TQCC of Journal of Differential Equations is 5. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Singular solutions of complex vector fields on the Möbius band90
A generalized index theory for non-Hamiltonian system77
Positivity of temperature for some non-isothermal fluid models77
One-sided Hölder regularity of global weak solutions of negative order dispersive equations76
Editorial Board75
Editorial Board74
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system72
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors72
Editorial Board53
Editorial Board52
Fine asymptotic expansion of the ODE's flow49
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space48
Editorial Board48
Distribution of large value points via frequency and wellposedness of Navier-Stokes equations47
Random dynamics of the stochastic Landau-Lifshitz-Bloch equation with colored noise in the real line45
Large solutions of elliptic equations with fully nonlinear conformally invariant operators43
Nonlinear stability of multi-solitons for the Hirota equation41
Editorial Board39
Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy38
Concentration phenomenon of single phytoplankton species with changing-sign advection term38
McGehee blowup for Lagrangian systems and instability of equilibria37
Partial functional differential equations and Conley index35
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients34
Existence of large amplitude irrotational equatorial waves with flow force function33
Multiple symmetric periodic solutions of differential systems with distributed delay33
Symplectic techniques for stochastic differential equations on reductive Lie groups with applications to Langevin diffusions33
Existence and stability of positive solutions in a parabolic problem with a nonlinear incoming flux on the boundary33
Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity33
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system31
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in C1, open sets30
Uniqueness of cylindrically symmetric solutions for coupled Gross-Pitaevskii equations with totally degenerate potentials30
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice30
On the weighted inertia-energy approach to forced wave equations29
The number of Kaplan-Yorke periodic solutions for delay differential equations29
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity28
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain28
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions28
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel28
Homoclinic bifurcation near a loop tangent to an invariant straight line28
One-phase free boundary solutions of finite Morse index27
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games27
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions27
Large time stabilization of rough-data solutions in one-dimensional nonlinear thermoelasticity27
Global solvability for nonlinear wave equations with singular potential26
Existence and nonexistence of stable patterns in semilinear nonlocal diffusion equations26
Editorial Board26
The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus25
Green's function estimates for time measurable parabolic operators on polyhedrons and polyhedral cones25
On the local null controllability of a viscous Burgers' system in finite time25
Asymmetric front propagation for the bistable reaction-diffusion equation on a metric graph24
Nonlinear Schrödinger equations with concave-convex nonlinearities24
A new Chebyshev criterion and its application to planar differential systems24
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations24
Vertical and horizontal square functions on a class of non-doubling manifolds24
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator24
On the exponential stability of Beck's Problem on a star-shaped graph23
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group23
Weak Harnack inequality for a mixed local and nonlocal parabolic equation23
Null controllability of the 1D heat equation with interior inverse square potential23
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations23
Evolution of movement strategies in patchy landscapes23
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching23
Dissipative solutions and Markov selection to the complete stochastic Euler system22
Spatial propagation phenomena for diffusive SIS epidemic models22
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation22
Sturmian measures can be sublinearly approximated by periodic measures22
Boundary conditions for hyperbolic relaxation systems with characteristic boundaries22
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols22
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations22
Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time22
Asymptotic propagation of stochastic Fisher-KPP equation with Markovian switching21
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation21
Global dynamics of Kato's solutions for the 3D incompressible micropolar system21
Wave equation with nonlinear damping and super-cubic nonlinearity21
Linear asymptotic stability for the Couette flow in stratified fluid with high Richardson's number21
Dynamics for a nonlocal logistic equation with a sedentary compartment and free boundary20
Optimal decay estimates for the radially symmetric compressible Navier-Stokes equations20
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time20
Optimal decay rates for the compressible Navier–Stokes equations with density–dependent viscosities20
Miura transformations and large-time behaviors of the Hirota-Satsuma equation20
Editorial Board20
Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator19
Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on 19
Editorial Board19
On the study of optimal control problems with irregular constraints19
A Liouville type theorem for a scaling invariant parabolic system with no gradient structure18
Fine phase mixtures in one-dimensional non-convex elastodynamics18
Nonsmooth regular perturbations of singularly perturbed problems18
On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics18
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients18
Editorial Board18
Qualitative properties for a system coupling scaled mean curvature flow and diffusion18
L -maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders18
Convergence to SPDEs for second order evolutionary equation with singular short–range correlated potential18
L-estimates for parabolic equations in divergence form with a half-time derivative18
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity17
On physically grounded boundary conditions for the compressible MHD system17
Dynamics of a wave equation with memory and Hardy type potentials17
Singular backward stochastic Volterra integral equations in infinite dimensional spaces17
L2-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations17
The field-road diffusion model: Fundamental solution and asymptotic behavior17
The Fujita critical exponent for one-dimensional semilinear heat equations with potentials and space-dependent nonlinearities17
Effective medium theory for Van-der-Waals heterostructures17
The initial-boundary value problem for the nonlinear Schrödinger equation with the nonlinear Neumann boundary condition on the half-line17
Asymptotic behavior for the fast diffusion equation with absorption and singularity17
Null-controllability for the beam equation with structural damping. Part 1. Distributed control17
Global existence for systems of 2-D wave equations with nonlinearity of the wave maps type in exterior domains17
Energy formulae for fractional Schrödinger-Poisson system17
The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines17
A new proof of the 16
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 transfer16
Validity of Prandtl boundary layer ansatz for non-isentropic MHD equations in Sobolev space16
Wong-Zakai approximations and support theorem for reflected SDEs with path-dependent coefficients16
Entropy production in general balance laws16
The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone16
Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary16
Weyl's law and estimates of eigenvalues for fractional sub-Laplacian operators on Carnot groups16
Attractors for a Kirchhoff model with degenerate stiffness factor and nonlinear boundary conditions16
Corrigendum to “Metastability of the Cahn–Hilliard equation in one space dimension” [J. Differ. Equ. 265 (4) (2018) 1528–1575]16
Well-posedness, regularity and longtime dynamics for the quasi-linear hyperbolic equation with structural damping16
From finite to continuous phenotypes in (visco-)elastic tissue growth models16
Transmission problems for simply connected domains in the complex plane16
Variational construction of asymptotic orbits in contact Hamiltonian systems16
A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results16
Three-spectra inverse problem for the perturbed Bessel operators15
The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model15
Curved fronts for a Belousov-Zhabotinskii system in exterior domains15
Existence of planar non-symmetric stationary flows with large flux in an exterior disk15
Traveling waves and their spectral instability in volume–filling chemotaxis model15
Dispersive effective metasurface model for bubbly media15
Long-time dynamics of McKean-Vlasov stochastic reaction-diffusion equations on 15
Bifurcation structure and stability of steady gravity water waves with constant vorticity15
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms15
A new reformulation of the Muskat problem with surface tension15
Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum15
Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data15
The Poincaré maps of a slow-fast stochastic system15
On Fila-King conjecture in dimension four15
Critical Schrödinger equations with Stein-Weiss convolution parts in R15
Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats15
A new regularity criterion for the 2D non-resistive incompressible MHD equations15
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups15
The graph limit for a pairwise competition model15
A panoramic view of exponential attractors15
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity15
Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains15
Nonlocal elliptic problems with nonhomogeneous nonlinearities via nonlinear Rayleigh quotient in 14
Global well-posedness of the energy-critical stochastic nonlinear wave equations14
Poisson stable solutions for stochastic PDEs driven by Lévy noise14
Effect of advection on the predator-prey dynamics with a drift-feeding predator14
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity14
Elliptic equations in 14
Exponential mixing property of the stochastic strongly damped wave equations14
Conformally weighted Einstein manifolds: The uniqueness problem14
Sturm–Liouville M-functions in terms of Green's functions14
H2-regularity for stationary and non-stationary Bingham problems with perfect slip boundary condition14
A relation between the Dirichlet and the Regularity problem for parabolic equations14
Traveling waves to a chemotaxis-growth model with Allee effect14
The double phase problems on lattice graphs14
Rigidity of Lyapunov exponents for geodesic flows14
Hypocoercivity for the non-linear semiconductor Boltzmann equation14
Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion14
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields14
Fine profiles of positive solutions for some nonlocal dispersal equations14
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations14
Local existence of the outer parabolic stochastic Stefan problem on the sphere14
Global dynamics above the ground state for the energy-critical Hartree equation with radial data14
Singularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields14
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations13
On limit measures and their supports for stochastic ordinary differential equations13
Hölder regularity for nonlocal in time subdiffusion equations with general kernel13
Full asymptotic expansion of the permeability matrix of a dilute periodic porous medium13
On the Dirichlet problem for second order elliptic systems in the ball13
Editorial Board13
Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation13
Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle13
Global well-posedness and blow-up for the fifth order L2-critical KP-I equation13
Editorial Board13
Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers13
Editorial Board13
Time-dependent incompressible viscous flows around a rigid body: Estimates of spatial decay independent of boundary conditions13
Rotation sets and rotational entropy for random dynamical systems on the torus13
Can disease invasion match population expansion in a time-periodic SI free boundary model?13
A compactness condition for the theorem of sums in a class of non-uniformly elliptic PDEs12
End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces12
Global existence and eventual smoothness of a nutrient consumption system involving local sensing and proliferation12
Path independence for the additive functionals of stochastic Volterra equations with singular kernels and Hölder continuous coefficients12
A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters12
Dynamics of wavefronts to a coarse-grained model with volume-filling cell invasion12
Liouville type theorems for the generalized higher order Choquard-Pekar equation12
The Landau and non-cutoff Boltzmann equations in union of cubes12
Nonlinear stochastic wave equation driven by rough noise12
Uniqueness and nonuniqueness of p-harmonic Green functions on weighted R and metric spaces12
Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation12
Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth12
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities12
Corrigendum to: “Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications” [J. Differ. Equ. 268 (12) (2020) 7669–7714]12
Quantitative estimates for Lévy driven SDEs with different drifts and applications12
On solutions to the 3D generalized MHD equations with nonlinear damping terms12
Bounded and periodic solutions of quasilinear parabolic equations in time-dependent domains12
Stability and instability of a generic compressible two-fluid model with equal pressures12
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction12
Decay estimates of positive finite energy solutions to quasilinear and fully nonlinear systems in 12
Schrödinger equation on non-compact symmetric spaces12
3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy11
Invariant tori of rectilinear type in the spatial three-body problem11
On the Korteweg-de Vries limit for the Boussinesq equation11
Polynomial normal forms for ODEs near a center-saddle equilibrium point11
Dynamic boundary flux-driven shallow waters: Insights from a dissipative-dispersive system11
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface11
Analysis of a radial free boundary tumor model with time-dependent absorption efficiency11
Stability of single transition layer in mass-conserving reaction-diffusion systems with bistable nonlinearity11
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivatives11
Dynamics of the nonlocal KPP equation: Effects of a new free boundary condition11
Periodic solutions of the forced conservative pendulum with relativistic acceleration and derivative dependent coefficient11
The second Dirichlet eigenvalue is simple on every non-equilateral triangle, Part I: Nearly degenerate triangles11
On the asymptotic stability on the line of ground states of the pure power NLS with 0 ≤ 2 − p ≪ 111
Liouville theorem for Lane-Emden equation of Baouendi-Grushin operators11
Maslov-type (L,P)-index and subharmonic P-symmetric brake solutions for Hamiltonian systems11
Editorial Board11
Invariant measures of stochastic Maxwell equations and ergodic numerical approximations11
Energy conservation law for weak solutions of the full compressible Navier-Stokes equations11
The spectrum for the p-Laplacian systems with rotating periodic boundary value conditions and applications11
A strongly degenerate fully nonlinear mean field game with nonlocal diffusion11
Hydrodynamic limit of Boltzmann equations for gas mixture11
Born-Infeld problem with general nonlinearity11
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth11
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence11
Gradient continuity for p(x)-Laplacian systems under minimal conditions on the exponent11
Sharp large time behaviour in N-dimensional reaction-diffusion equations of bistable type11
Weighted maximal regularity estimates of higher order elliptic systems on Lipschitz domains11
On a class of superlinear obstacle problems11
Analytical study of a generalised Dirichlet–Neumann operator and application to three-dimensional water waves on Beltrami flows11
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction11
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with 11
Characterising blenders via covering relations and cone conditions11
Bloch spectra for high contrast elastic media11
Harnack inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions10
Singular degenerate SDEs: Well-posedness and exponential ergodicity10
Regularized n-conformal heat flow and global smoothness10
Conditional uniqueness of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit10
Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line10
A result of existence of global weak solutions of a viscous Saint-Venant-Exner model10
Measurable weighted shadowing for random dynamical systems on Banach spaces10
Quasilinear parabolic equations with superlinear nonlinearities in critical spaces10
A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral10
On the positive periodic solutions of a class of Liénard equations with repulsive singularities in degenerate case10
The acoustic limit from the Boltzmann equation with Fermi-Dirac statistics10
Existence and dynamics of normalized solutions to Schrödinger equations with generic double-behaviour nonlinearities10
Asymptotic stability of rarefaction wave with non-slip boundary condition for radiative Euler flows10
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