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 2022-05-01 to 2026-05-01.)
ArticleCitations
Singular solutions of complex vector fields on the Möbius band189
Positivity of temperature for some non-isothermal fluid models84
A generalized index theory for non-Hamiltonian system73
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group72
One-sided Hölder regularity of global weak solutions of negative order dispersive equations72
Editorial Board71
Editorial Board68
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system66
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors65
Editorial Board52
Fine asymptotic expansion of the ODE's flow49
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The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space48
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Random dynamics of the stochastic Landau-Lifshitz-Bloch equation with colored noise in the real line42
Distribution of large value points via frequency and wellposedness of Navier-Stokes equations42
Large solutions of elliptic equations with fully nonlinear conformally invariant operators41
Dissipative solutions and Markov selection to the complete stochastic Euler system39
Nonlinear stability of multi-solitons for the Hirota equation38
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols37
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations37
Sturmian measures can be sublinearly approximated by periodic measures36
Nonlinear Schrödinger equations with concave-convex nonlinearities35
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator35
On the exponential stability of Beck's Problem on a star-shaped graph33
One-phase free boundary solutions of finite Morse index33
Editorial Board32
Linear asymptotic stability for the Couette flow in stratified fluid with high Richardson's number32
Existence of smooth solutions for a class of Euclidean bosonic equations31
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations31
Concentration phenomenon of single phytoplankton species with changing-sign advection term30
On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition30
Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy30
McGehee blowup for Lagrangian systems and instability of equilibria29
Partial functional differential equations and Conley index29
Bifurcations in the diffusive Bazykin model28
Boundary conditions for hyperbolic relaxation systems with characteristic boundaries27
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients27
Symplectic techniques for stochastic differential equations on reductive Lie groups with applications to Langevin diffusions27
Multiple symmetric periodic solutions of differential systems with distributed delay27
Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity27
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity27
Asymmetric front propagation for the bistable reaction-diffusion equation on a metric graph26
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system26
Existence and stability of positive solutions in a parabolic problem with a nonlinear incoming flux on the boundary26
Existence of large amplitude irrotational equatorial waves with flow force function26
Global dynamics of Kato's solutions for the 3D incompressible micropolar system25
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions25
Editorial Board25
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation25
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations24
Vertical and horizontal square functions on a class of non-doubling manifolds24
Asymptotic propagation of stochastic Fisher-KPP equation with Markovian switching24
Global solvability for nonlinear wave equations with singular potential23
The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus23
Existence and nonexistence of stable patterns in semilinear nonlocal diffusion equations23
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation22
Weak Harnack inequality for a mixed local and nonlocal parabolic equation22
Spatial propagation phenomena for diffusive SIS epidemic models22
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games22
Homoclinic bifurcation near a loop tangent to an invariant straight line21
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity21
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice21
A new Chebyshev criterion and its application to planar differential systems21
Miura transformations and large-time behaviors of the Hirota-Satsuma equation20
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel20
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching20
Uniqueness of cylindrically symmetric solutions for coupled Gross-Pitaevskii equations with totally degenerate potentials20
The number of Kaplan-Yorke periodic solutions for delay differential equations20
Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time20
On the weighted inertia-energy approach to forced wave equations20
Null controllability of the 1D heat equation with interior inverse square potential19
Existence of planar non-symmetric stationary flows with large flux in an exterior disk19
Editorial Board19
Wave equation with nonlinear damping and super-cubic nonlinearity19
Evolution of movement strategies in patchy landscapes19
Dynamics for a nonlocal logistic equation with a sedentary compartment and free boundary19
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain19
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions19
Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum19
Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion18
Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator18
Critical Schrödinger equations with Stein-Weiss convolution parts in R18
H2-regularity for stationary and non-stationary Bingham problems with perfect slip boundary condition18
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields18
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
Optimal decay rates for the compressible Navier–Stokes equations with density–dependent viscosities18
Editorial Board18
The graph limit for a pairwise competition model18
On the study of optimal control problems with irregular constraints18
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time18
Inhomogeneous wave equation with t-dependent singular coefficients18
Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on 17
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms17
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains17
Singular backward stochastic Volterra integral equations in infinite dimensional spaces17
On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics17
Bifurcation structure and stability of steady gravity water waves with constant vorticity17
H1+ estimates for the fully nonlinear parabolic thin obstacle problem17
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity16
Energy formulae for fractional Schrödinger-Poisson system16
Editorial Board16
Nonsmooth regular perturbations of singularly perturbed problems16
A Liouville type theorem for a scaling invariant parabolic system with no gradient structure16
A new reformulation of the Muskat problem with surface tension16
The Poincaré maps of a slow-fast stochastic system16
Convergence to SPDEs for second order evolutionary equation with singular short–range correlated potential16
Traveling waves and their spectral instability in volume–filling chemotaxis model16
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
L-estimates for parabolic equations in divergence form with a half-time derivative16
Fine phase mixtures in one-dimensional non-convex elastodynamics16
L2-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations15
The initial-boundary value problem for the nonlinear Schrödinger equation with the nonlinear Neumann boundary condition on the half-line15
Transmission problems for simply connected domains in the complex plane15
On physically grounded boundary conditions for the compressible MHD system15
Attractors for a Kirchhoff model with degenerate stiffness factor and nonlinear boundary conditions15
A new regularity criterion for the 2D non-resistive incompressible MHD equations15
Poisson stable solutions for stochastic PDEs driven by Lévy noise15
Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains15
The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone15
The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines15
The Fujita critical exponent for one-dimensional semilinear heat equations with potentials and space-dependent nonlinearities15
Three-spectra inverse problem for the perturbed Bessel operators15
Corrigendum to “Metastability of the Cahn–Hilliard equation in one space dimension” [J. Differ. Equ. 265 (4) (2018) 1528–1575]15
Wong-Zakai approximations and support theorem for reflected SDEs with path-dependent coefficients15
Validity of Prandtl boundary layer ansatz for non-isentropic MHD equations in Sobolev space15
Weyl's law and estimates of eigenvalues for fractional sub-Laplacian operators on Carnot groups15
A new proof of the 15
A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results15
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups15
A relation between the Dirichlet and the Regularity problem for parabolic equations15
Curved fronts for a Belousov-Zhabotinskii system in exterior domains15
From finite to continuous phenotypes in (visco-)elastic tissue growth models15
Entropy production in general balance laws15
Variational construction of asymptotic orbits in contact Hamiltonian systems15
Effective medium theory for Van-der-Waals heterostructures15
Null-controllability for the beam equation with structural damping. Part 1. Distributed control14
Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials14
Effect of advection on the predator-prey dynamics with a drift-feeding predator14
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations14
The field-road diffusion model: Fundamental solution and asymptotic behavior14
Global existence for systems of 2-D wave equations with nonlinearity of the wave maps type in exterior domains14
Dynamics of a wave equation with memory and Hardy type potentials14
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity14
Dispersive effective metasurface model for bubbly media14
On Fila-King conjecture in dimension four14
Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats14
Nonlocal elliptic problems with nonhomogeneous nonlinearities via nonlinear Rayleigh quotient in 13
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with 13
Asymptotic behavior for the fast diffusion equation with absorption and singularity13
Well-posedness, regularity and longtime dynamics for the quasi-linear hyperbolic equation with structural damping13
3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy13
The double phase problems on lattice graphs13
Global well-posedness of the energy-critical stochastic nonlinear wave equations13
Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers13
On limit measures and their supports for stochastic ordinary differential equations13
Editorial Board13
Elliptic equations in 13
Sturm–Liouville M-functions in terms of Green's functions13
The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model13
Existence of solutions to a fully nonlinear free transmission problem13
Hölder regularity for nonlocal in time subdiffusion equations with general kernel13
Global well-posedness and blow-up for the fifth order L2-critical KP-I equation13
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations13
Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle13
Full asymptotic expansion of the permeability matrix of a dilute periodic porous medium13
Local existence of the outer parabolic stochastic Stefan problem on the sphere13
Long-time dynamics of McKean-Vlasov stochastic reaction-diffusion equations on 13
Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary13
A strongly degenerate fully nonlinear mean field game with nonlocal diffusion13
Editorial Board13
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Fine profiles of positive solutions for some nonlocal dispersal equations13
Time-dependent incompressible viscous flows around a rigid body: Estimates of spatial decay independent of boundary conditions13
The spectrum for the p-Laplacian systems with rotating periodic boundary value conditions and applications12
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
Born-Infeld problem with general nonlinearity12
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities12
Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation12
Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation12
A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters12
Path independence for the additive functionals of stochastic Volterra equations with singular kernels and Hölder continuous coefficients12
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivatives12
Stability and instability of a generic compressible two-fluid model with equal pressures12
Uniqueness and nonuniqueness of p-harmonic Green functions on weighted R and metric spaces12
Liouville type theorems for the generalized higher order Choquard-Pekar equation12
Rotation sets and rotational entropy for random dynamical systems on the torus12
Periodic solutions of the forced conservative pendulum with relativistic acceleration and derivative dependent coefficient12
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction12
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface12
Schrödinger equation on non-compact symmetric spaces12
A compactness condition for the theorem of sums in a class of non-uniformly elliptic PDEs12
Analysis of a radial free boundary tumor model with time-dependent absorption efficiency12
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
On the Dirichlet problem for second order elliptic systems in the ball12
Nonlinear stochastic wave equation driven by rough noise11
The Landau and non-cutoff Boltzmann equations in union of cubes11
Dynamics of wavefronts to a coarse-grained model with volume-filling cell invasion11
Stability of single transition layer in mass-conserving reaction-diffusion systems with bistable nonlinearity11
On solutions to the 3D generalized MHD equations with nonlinear damping terms11
Weighted maximal regularity estimates of higher order elliptic systems on Lipschitz domains11
On a class of superlinear obstacle problems11
Singularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields11
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence11
Dynamics of the nonlocal KPP equation: Effects of a new free boundary condition11
End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces11
Global existence and eventual smoothness of a nutrient consumption system involving local sensing and proliferation11
Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth11
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth11
Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion11
Dynamic boundary flux-driven shallow waters: Insights from a dissipative-dispersive system11
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction11
Traveling waves to a chemotaxis-growth model with Allee effect11
Rigidity of Lyapunov exponents for geodesic flows11
Bloch spectra for high contrast elastic media11
Quantitative estimates for Lévy driven SDEs with different drifts and applications11
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
Hydrodynamic limit of Boltzmann equations for gas mixture11
Singular degenerate SDEs: Well-posedness and exponential ergodicity11
Editorial Board11
Maslov-type (L,P)-index and subharmonic P-symmetric brake solutions for Hamiltonian systems11
Invariant measures of stochastic Maxwell equations and ergodic numerical approximations11
Conformally weighted Einstein manifolds: The uniqueness problem11
Characterising blenders via covering relations and cone conditions11
Global well-posedness of classical solution to the interactions between short-long waves with large initial data10
Global well-posedness and dynamic behavior of pantograph delay differential equations10
Regularity criteria for weak solutions to the 3d co-rotational Beris-Edwards system via the pressure10
Uniform regularity and vanishing viscosity limit for the 2D heat-conducting compressible MHD system in half-space10
Asymptotic stability of rarefaction wave with non-slip boundary condition for radiative Euler flows10
Dimension approximation for diffeomorphisms preserving hyperbolic SRB measures10
Existence of a periodic solution for superlinear second order ODEs10
Polynomial normal forms for ODEs near a center-saddle equilibrium point10
Exponential decay of random correlations for random Anosov systems mixing on fibers10
Controllability of quasi-linear Hamiltonian Schrödinger equations on tori10
Flows driven by multi-indices rough paths10
Nonlinear wave interactions in geochemical modeling10
Invariant manifolds of 3D piecewise vector fields10
Biological populations as stationary distributions in the space of genotypes10
Hyperbolic systems of balance laws with stiff source10
Editorial Board10
Segregated solutions for a class of systems with Lotka-Volterra interaction10
Spatiotemporal patterns and bifurcations of a delayed diffusive predator-prey system with fear effects10
Propagation dynamics for a class of integro-difference equations in a shifting environment10
Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line10
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