Nonlinear Analysis-Theory Methods & Applications

Papers
(The median citation count of Nonlinear Analysis-Theory Methods & Applications 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 2021-06-01 to 2025-06-01.)
ArticleCitations
Variational and stability properties of coupled NLS equations on the star graph37
Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher–KPP equation32
Trudinger–Moser type inequalities with a symmetric conical metric and a symmetric potential31
Doubly-nonlinear evolution equations of rate-independent type with irreversibility and energy balance law29
On the dimension of divergence sets of Schrödinger equation with complex time23
Large time asymptotics for the modified Korteweg–de Vries-Benjamin–Ono equation22
Global analytic solutions of a pseudospherical Novikov equation22
Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions22
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity20
Normalized traveling solitary waves for a class of nonlinear half-wave equations19
Hessian matrix non-decomposition theorem and its application to nonlinear filtering19
Editorial Board18
Subharmonic solutions in reversible non-autonomous differential equations18
Editorial Board16
Existence and nonexistence of sign-changing solutions for singular semilinear equations on exterior domains15
Editorial Board15
Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity14
Limit cycles for some families of smooth and non-smooth planar systems13
An upper bound for the box dimension of the hyperbolic dynamics via unstable topological pressure13
Higher regularity for minimizers of very degenerate convex integrals13
Existence of solutions for hybrid systems of differential equations under exogenous information with discontinuous source term12
Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems12
Excess decay for minimizing hypercurrents mod 2Q12
Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: The higher dimensional case12
On the obstacle problem for fractional semilinear wave equations12
Improved regularity estimates for Lagrangian flows on RCD12
Oblique derivative problem in a plane sector for strong quasi-linear elliptic second-order equation with perturbed 12
Stochastic Lagrangian perturbation of Lie transport and applications to fluids12
Large global solutions to the three dimensional compressible flow of liquid crystals12
A Simons type integral inequality for closed submanifolds in the product space 12
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension11
Editorial Board11
Morse index computation for radial solutions of the Hénon problem in the disk11
Decay characterization of weak solutions for the MHD micropolar equations on <11
On local energy decay for solutions to the b-family of peakon equations11
Weak solutions of coupled variable-density flows and heat transfer in porous media11
Global existence and Blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation11
Editorial Board11
Existence and regularity for solutions of quasilinear degenerate elliptic systems10
Editorial Board10
Editorial Board10
Editorial Board10
Existence and boundedness of weak solutions to some vectorial Dirichlet problems10
Editorial Board10
Classification and symmetry of positive solutions for weighted integral system9
Minimal energy configurations of bilayer plates as a polynomial optimization problem9
Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus9
An uncertainty principle on the Lorentz spaces9
Transition fronts of Fisher–KPP equations in locally spatially inhomogeneous patchy environments9
High order asymptotic inequalities for some dissipative systems9
Evolution of graphs in hyperbolic space by their Gauss curvature9
Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations9
Approximate boundary controllability for parabolic equations with inverse square infinite potential wells9
Narrow operators on C-complete lattice-normed spaces8
On some nonlocal problems in the calculus of variations8
Homogenization of discrete thin structures8
The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain8
Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes8
Unique continuation from a crack’s tip under Neumann boundary conditions8
Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations8
Measures in the dual of BV: peri8
Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators8
Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball8
Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods8
Homogenisation of local colloid evolution induced by reaction and diffusion7
Generalized Fountain Theorem for Locally Lipschitz Functionals and application7
On blowup solutions for the mixed fractional Schrödinger equation of Choquard type7
Control problems with differential constraints of higher order7
A double obstacle problem in an optimal investment problem7
Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source7
Editorial Board7
Interior pointwise C27
Cosh gradient systems and tilting7
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems7
Editorial Board7
Liouville type theorems and stability of Φ7
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds II: Integral curvature condition7
Editorial Board7
Ground state in the energy super-critical Gross–Pitaevskii equation with a harmonic potential7
Minimisers of a general Riesz-type problem7
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals7
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials7
Stability of a coupled wave-Klein–Gordon system with non-compactly supported initial data7
On the singular limit problem for a discontinuous nonlocal conservation law7
A singular limit of a family of variational evolutions for a brittle elastic bi-layer7
Editorial Board7
Almost sure scattering for the nonlinear Klein–Gordon equations with Sobolev critical power7
On a zero-mass (N,q<6
Curved thin-film limits of chiral Dirichlet energies6
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups6
Partial gradient regularity for parabolic systems with degenerate diffusion and Hölder continuous coefficients6
Ergodicity of the Fisher infinitesimal model with quadratic selection6
Local well posedness for a system of quasilinear PDEs modelling suspension bridges6
Planar Hamiltonian systems: Index theory and applications to the existence of subharmonics6
Extinction and non-extinction profiles for the sub-critical fast diffusion equation with weighted source6
Exploring a modification of dp6
Microscopic derivation of non-local models with anomalous diffusions from stochastic particle systems6
Regularity of almost minimizers for the parabolic thin obstacle problem6
Generalized characteristics for finite entropy solutions of Burgers’ equation6
The 2-dimensional nonlinear Schrödinger–Maxwell system6
A comparison principle for the Lane–Emden equation and applications to geometric estimates6
Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials6
Local uniqueness of minimizers for Choquard type equations6
A metric stability result for the very strict CD condition6
Parabolic equations with non-standard growth and measure or integrable data6
Uniqueness and regularity of the fractional harmonic gradient flow in 6
On the complex constant rank condition and inequalities for differential operators6
On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces6
Editorial Board6
Approximation, regularity and positivity preservation on Riemannian manifolds5
Exact controllability for nonlocal and nonlinear hyperbolic PDEs5
Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential5
A two phase boundary obstacle-type problem for the bi-Laplacian5
Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab5
Gradient estimates for weighted harmonic function with Dirichlet boundary condition5
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation5
Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data5
A smectic liquid crystal model in the periodic setting5
Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree–Fock theory5
Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models5
On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: Well-definedness and higher-order chain rule5
A quantitative result for the k-Hessian equation5
The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg–de Vries equation5
Prescribing Morse Scalar Curvatures: Incompatibility of Non Existence5
Inhomogeneous cancellation conditions and Calderón–Zygmund type operators on <5
Editorial Board5
Boundary estimates for solutions of the Monge–Ampère equation satisfying Dirichlet–Neumann type conditions in annular domains5
Interface logistic problems: Large diffusion and singular perturbation results5
Improved local existence result of the Green–Naghdi equations with the Coriolis effect5
Low regularity theory for the inverse fractional conductivity problem5
Vector-valued Sobolev spaces based on Banach function spaces5
Global solutions of quasi-linear Hamiltonian mKdV equation5
A Schwarz lemma and a Liouville theorem for generalized harmonic maps5
Existence results for a borderline case of a class of p-Laplacian pro5
Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation5
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint5
Viability and invariance of systems on metric spaces5
Solitons and solitonic vortices in a strip5
Inverse pressure for finitely generated semigroups5
A compactness result for inhomogeneous nonlinear Schrödinger equations5
Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid5
On the uniqueness of solutions to the isotropic L<5
One-dimensional symmetry of solutions to non-cooperative elliptic systems5
The log entropy formula and entropy power for p-heat equation on Riem5
Existence and asymptotic behavior of solutions for a quasilinear Schrödinger equation with Hardy potential5
Quasiconformal properties of Qp5
A log-weighted Moser inequality on the plane5
Infinitely many sign-changing solutions to a conformally invariant integral equation on 5
Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold5
Precise asymptotics near a generic S4
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups4
Boundary value problems for Choquard equations4
A classical S4
Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities4
On fractional Poincaré inequality for unbounded domains with finite ball conditions: Counter example4
Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics4
Existence for fractional (p,4
A fully nonlinear locally constrained anisotropic curvature flow4
A partially overdetermined problem for the p-Laplace equation in a con4
Existence result for a two-dimensional system of conservation laws with unilateral constraints4
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces4
Energy conservation of the compressible Euler equations and the Navier–Stokes equations via the gradient4
Critical boundary value problems in the upper half-space4
Decay of strong solution for the compressible Navier–Stokes equations with large initial data4
p-Wasserstein barycenters4
Minimizers for a one-dimensional interaction energy4
On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows4
Hadamard’s inequality in the mean4
Homogenization in perforated domains at the critical scale4
Norm inflation with infinite loss of regularity at general initial data for nonlinear wave equations in Wiener amalgam and Fourier amalgam spaces4
On the nonlinear Dysthe equation4
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian4
Boundedness for solutions of weighted forward–backward parabolic equations without assuming higher regularity4
The regularity theory for the double obstacle problem for fully nonlinear operator4
Bubbling solutions of mixed type for a general non-Abelian Chern–Simons–Higgs system of rank 2 over a torus4
Propagation for KPP bulk-surface systems in a general cylindrical domain4
Almost minimizers to a transmission problem for (p4
Stochastic inviscid Leray-α model with transport noise: Convergence ra4
Embedded Delaunay tori and their Willmore energy4
The global existence of generalized solutions to the time-dependent Thomas–Fermi equations4
Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models4
A regularity result for the Fokker–Planck equation with non-smooth drift and diffusion4
Asymptotic profile of ground states for the Schrödinger–Poisson–Slater equation4
Existence results for thek-Hessian type system with the gradients via4
Convergence rate of solutions towards spiky steady state for the Keller–Segel system with logarithmic sensitivity4
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group4
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions4
Global dynamics of stochastic tidal equations3
Series expansion of weighted Finsler–Kato–Hardy inequalities3
Corrigendum to: “Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint” [Nonlinear Anal. 220 (2022) 112851]3
The anisotropic convexity of domains and the boundary estimate for two Monge–Ampère equations3
Uniqueness for quasilinear elliptic problems in a two-component domain with <3
Bernstein–Remez inequality for algebraic functions: A topological approach3
Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold3
Hyperbolic circle packings and total geodesic curvatures on surfaces with boundary3
Derivation and well-posedness for asymptotic models of cold plasmas3
Boundary Hölder regularity for a class of fully nonlinear elliptic partial differential equations3
Inner and outer smooth approximation of convex hypersurfaces. When is it possible?3
Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions3
Boundary Lipschitz regularity of solutions for general semilinear elliptic equations in divergence form3
Editorial Board3
Symmetry of solutions to semilinear PDEs on Riemannian domains3
An estimate concerning the difference between minimizer and boundary value in some polyconvex problems3
Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint3
Can a population survive in a shifting environment using non-local dispersion?3
Magnetic curves in the generalized Heisenberg group3
On a new singular and degenerate extension of the p-Laplace operator3
Thermostatted kinetic theory in measure spaces: Well-posedness3
A free boundary problem in Orlicz spaces related to mean curvature3
Editorial Board3
Jacobi fields in optimal control: Morse and Maslov indices3
Some rigidity properties for λ-self-expanders3
Nonlinear elliptic p-Laplacian equations in the whole space3
Well-posedness and inverse problems for semilinear nonlocal wave equations3
Generating loops and isolas in semilinear elliptic BVP’s3
Editorial Board3
Semilinear effectively damped wave models with general relaxation function3
On aspects of the normalized Infinity Laplacian on Finsler manifolds3
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem3
Global smooth solutions for hyperbolic systems with time-dependent damping3
Blow-up rate of sign-changing solutions to nonlinear parabolic systems in domains3
Elliptic Hamilton–Jacobi systems and Lane–Emden Hardy–Hénon equations3
Dissociation limit in Kohn–Sham density functional theory3
Variational solutions to the total variation flow on metric measure spaces3
A monotonicity property of the p-torsional rigidity3
Unconditional flocking for weak solutions to self-organized systems of Euler-type with all-to-all interaction kernel3
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows3
The very singular solution for the Anisotropic Fast Diffusion Equation and its consequences3
List’s flow with integral curvature bounds on complete noncompact Riemannian manifolds3
Monotone sets and local minimizers for the perimeter in Carnot groups3
A semigroup approach to a reaction–diffusion system with cross-diffusion3
k-convex hypersurfaces with prescribed Weingarten curvature in warped 3
C1,3
Hopf bifurcation in a diffusive population system with nonlocal delay effect3
Uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment3
The geometry of Φ(3
Static Black Hole Uniqueness for nonpositive masses3
Standing waves for 6-superlinear Chern–Simons–Schrödinger systems with indefinite potentials3
A necessary condition for Sobolev extension domains in higher dimensions3
Applications of cone structures to the anisotropic rheonomic Huygens’ principle3
The obstacle problem for the Monge–Ampère equation with the lower obstacle3
A precision on the concept of strict convexity in non-Archimedean analysis3
The Korteweg–de Vries equation on the half-line with Robin and Neumann data in low regularity spaces3
Regularity of flat free boundaries for a p(<3
Cherrier–Escobar problem for the elliptic Schrödinger-to-Neumann map3
Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms3
L3
Editorial Board3
A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary3
Injectivity of polynomial maps and foliations in the real plane3
0.1102340221405