Nonlinear Analysis-Theory Methods & Applications

Papers
(The TQCC of Nonlinear Analysis-Theory Methods & Applications is 3. 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 2021-05-01 to 2025-05-01.)
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
Doubly-nonlinear evolution equations of rate-independent type with irreversibility and energy balance law29
Trudinger–Moser type inequalities with a symmetric conical metric and a symmetric potential29
On the dimension of divergence sets of Schrödinger equation with complex time23
Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions22
A Simons type integral inequality for closed submanifolds in the product space 22
Higher regularity for minimizers of very degenerate convex integrals21
Large time asymptotics for the modified Korteweg–de Vries-Benjamin–Ono equation19
Global analytic solutions of a pseudospherical Novikov equation19
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity17
Hessian matrix non-decomposition theorem and its application to nonlinear filtering17
Stochastic Lagrangian perturbation of Lie transport and applications to fluids15
Normalized traveling solitary waves for a class of nonlinear half-wave equations15
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension15
Subharmonic solutions in reversible non-autonomous differential equations15
On the obstacle problem for fractional semilinear wave equations14
Editorial Board13
Editorial Board12
Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity12
Existence and nonexistence of sign-changing solutions for singular semilinear equations on exterior domains12
Editorial Board12
Excess decay for minimizing hypercurrents mod 2Q12
An upper bound for the box dimension of the hyperbolic dynamics via unstable topological pressure12
Oblique derivative problem in a plane sector for strong quasi-linear elliptic second-order equation with perturbed 12
Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: The higher dimensional case12
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 problems11
Limit cycles for some families of smooth and non-smooth planar systems11
Narrow operators on C-complete lattice-normed spaces11
Large global solutions to the three dimensional compressible flow of liquid crystals11
High order asymptotic inequalities for some dissipative systems11
Improved regularity estimates for Lagrangian flows on RCD11
Global existence and Blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation11
Measures in the dual of BV: peri10
Approximate boundary controllability for parabolic equations with inverse square infinite potential wells10
Morse index computation for radial solutions of the Hénon problem in the disk10
On local energy decay for solutions to the b-family of peakon equations10
Editorial Board10
Editorial Board10
Editorial Board10
Unique continuation from a crack’s tip under Neumann boundary conditions10
Editorial Board10
An uncertainty principle on the Lorentz spaces9
Editorial Board9
Existence and boundedness of weak solutions to some vectorial Dirichlet problems9
Editorial Board9
Evolution of graphs in hyperbolic space by their Gauss curvature9
Existence and regularity for solutions of quasilinear degenerate elliptic systems9
Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations8
Classification and symmetry of positive solutions for weighted integral system8
Minimal energy configurations of bilayer plates as a polynomial optimization problem8
Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes8
Transition fronts of Fisher–KPP equations in locally spatially inhomogeneous patchy environments8
Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators8
Regularizing effect of homogeneous evolution equations with perturbation8
Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus8
Interior pointwise C27
Generalized Fountain Theorem for Locally Lipschitz Functionals and application7
Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball7
The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain7
Decay characterization of weak solutions for the MHD micropolar equations on <7
Editorial Board7
Almost sure scattering for the nonlinear Klein–Gordon equations with Sobolev critical power7
A singular limit of a family of variational evolutions for a brittle elastic bi-layer7
A double obstacle problem in an optimal investment problem7
Ground state in the energy super-critical Gross–Pitaevskii equation with a harmonic potential7
Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations7
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems7
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals7
Editorial Board7
Weak solutions of coupled variable-density flows and heat transfer in porous media7
Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source7
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds II: Integral curvature condition7
On the singular limit problem for a discontinuous nonlocal conservation law7
Editorial Board7
Homogenization of discrete thin structures7
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials7
On some nonlocal problems in the calculus of variations7
Homogenisation of local colloid evolution induced by reaction and diffusion7
Quasilinear parabolic equations with first order terms and L<7
Liouville type theorems and stability of Φ7
Generalized characteristics for finite entropy solutions of Burgers’ equation6
Cosh gradient systems and tilting6
Exploring a modification of dp6
On blowup solutions for the mixed fractional Schrödinger equation of Choquard type6
On the complex constant rank condition and inequalities for differential operators6
Ergodicity of the Fisher infinitesimal model with quadratic selection6
Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods6
Stability of a coupled wave-Klein–Gordon system with non-compactly supported initial data6
Uniqueness and regularity of the fractional harmonic gradient flow in 6
Parabolic equations with non-standard growth and measure or integrable data6
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups6
Editorial Board6
Minimisers of a general Riesz-type problem6
Control problems with differential constraints of higher order6
Partial gradient regularity for parabolic systems with degenerate diffusion and Hölder continuous coefficients6
Curved thin-film limits of chiral Dirichlet energies6
Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials6
Exact controllability for nonlocal and nonlinear hyperbolic PDEs5
A two phase boundary obstacle-type problem for the bi-Laplacian5
Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential5
A smectic liquid crystal model in the periodic setting5
Low regularity theory for the inverse fractional conductivity problem5
The 2-dimensional nonlinear Schrödinger–Maxwell system5
Microscopic derivation of non-local models with anomalous diffusions from stochastic particle systems5
Editorial Board5
Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab5
Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation5
Inverse pressure for finitely generated semigroups5
A compactness result for inhomogeneous nonlinear Schrödinger equations5
Prescribing Morse Scalar Curvatures: Incompatibility of Non Existence5
Infinitely many sign-changing solutions to a conformally invariant integral equation on 5
The log entropy formula and entropy power for p-heat equation on Riem5
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint5
Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models5
Local well posedness for a system of quasilinear PDEs modelling suspension bridges5
A comparison principle for the Lane–Emden equation and applications to geometric estimates5
Editorial Board5
Quasiconformal properties of Qp5
Energy conservation of the compressible Euler equations and the Navier–Stokes equations via the gradient5
Inhomogeneous cancellation conditions and Calderón–Zygmund type operators on <5
Viability and invariance of systems on metric spaces5
Solitons and solitonic vortices in a strip5
Global solutions of quasi-linear Hamiltonian mKdV equation5
The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg–de Vries equation5
Planar Hamiltonian systems: Index theory and applications to the existence of subharmonics5
On a zero-mass (N,q<5
A metric stability result for the very strict CD condition5
On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces5
Regularity of almost minimizers for the parabolic thin obstacle problem5
Boundary estimates for solutions of the Monge–Ampère equation satisfying Dirichlet–Neumann type conditions in annular domains5
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation5
Approximation, regularity and positivity preservation on Riemannian manifolds5
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 data4
Decay of strong solution for the compressible Navier–Stokes equations with large initial data4
Improved local existence result of the Green–Naghdi equations with the Coriolis effect4
Vector-valued Sobolev spaces based on Banach function spaces4
A Schwarz lemma and a Liouville theorem for generalized harmonic maps4
Bubbling solutions of mixed type for a general non-Abelian Chern–Simons–Higgs system of rank 2 over a torus4
Existence and asymptotic behavior of solutions for a quasilinear Schrödinger equation with Hardy potential4
Existence result for a two-dimensional system of conservation laws with unilateral constraints4
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian4
A partially overdetermined problem for the p-Laplace equation in a con4
Stochastic inviscid Leray-α model with transport noise: Convergence ra4
On the nonlinear Dysthe equation4
Monge–Kantorovich equation for degenerate Finsler metrics4
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups4
One-dimensional symmetry of solutions to non-cooperative elliptic systems4
Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid4
A log-weighted Moser inequality on the plane4
Propagation for KPP bulk-surface systems in a general cylindrical domain4
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group4
Boundedness for solutions of weighted forward–backward parabolic equations without assuming higher regularity4
Convergence rate of solutions towards spiky steady state for the Keller–Segel system with logarithmic sensitivity4
Existence results for thek-Hessian type system with the gradients via4
p-Wasserstein barycenters4
Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold4
Critical boundary value problems in the upper half-space4
On the uniqueness of solutions to the isotropic L<4
Almost minimizers to a transmission problem for (p4
Gradient estimates for weighted harmonic function with Dirichlet boundary condition4
Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree–Fock theory4
On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: Well-definedness and higher-order chain rule4
Norm inflation with infinite loss of regularity at general initial data for nonlinear wave equations in Wiener amalgam and Fourier amalgam spaces4
The regularity theory for the double obstacle problem for fully nonlinear operator4
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions4
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces4
Precise asymptotics near a generic S4
Asymptotic profile of ground states for the Schrödinger–Poisson–Slater equation4
Minimization of a Ginzburg–Landau functional with mean curvature operator in 1-D3
A fully nonlinear locally constrained anisotropic curvature flow3
Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev–Petviashvili–Burgers equation in 2D3
On fractional Poincaré inequality for unbounded domains with finite ball conditions: Counter example3
Minimizers for a one-dimensional interaction energy3
Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics3
Uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment3
Global dynamics of stochastic tidal equations3
Magnetic curves in the generalized Heisenberg group3
Can a population survive in a shifting environment using non-local dispersion?3
Static Black Hole Uniqueness for nonpositive masses3
Hyperbolic circle packings and total geodesic curvatures on surfaces with boundary3
Applications of cone structures to the anisotropic rheonomic Huygens’ principle3
A necessary condition for Sobolev extension domains in higher dimensions3
A classical S3
Derivation and well-posedness for asymptotic models of cold plasmas3
Blow-up rate of sign-changing solutions to nonlinear parabolic systems in domains3
Semilinear effectively damped wave models with general relaxation function3
Nonlinear elliptic p-Laplacian equations in the whole space3
Thermostatted kinetic theory in measure spaces: Well-posedness3
Some rigidity properties for λ-self-expanders3
A Blaschke–Petkantschin formula for linear and affine subspaces with application to intersection probabilities3
Symmetry of solutions to semilinear PDEs on Riemannian domains3
A monotonicity property of the p-torsional rigidity3
Absence of Lavrentiev’s gap for anisotropic functionals3
Hadamard’s inequality in the mean3
L3
The global existence of generalized solutions to the time-dependent Thomas–Fermi equations3
List’s flow with integral curvature bounds on complete noncompact Riemannian manifolds3
Boundary value problems for Choquard equations3
Editorial Board3
Generating loops and isolas in semilinear elliptic BVP’s3
A precision on the concept of strict convexity in non-Archimedean analysis3
Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms3
Boundary Hölder regularity for a class of fully nonlinear elliptic partial differential equations3
Editorial Board3
Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions3
The geometry of Φ(3
On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows3
On aspects of the normalized Infinity Laplacian on Finsler manifolds3
An estimate concerning the difference between minimizer and boundary value in some polyconvex problems3
Dissociation limit in Kohn–Sham density functional theory3
Existence for fractional (p,3
Bernstein–Remez inequality for algebraic functions: A topological approach3
Corrigendum to: “Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint” [Nonlinear Anal. 220 (2022) 112851]3
Homogenization in perforated domains at the critical scale3
Fractional Hardy–Rellich inequalities via integration by parts3
C1,3
Weak solutions for steady, fully inhomogeneous generalized Navier-Stokes equations3
Well-posedness and inverse problems for semilinear nonlocal wave equations3
Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models3
Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint3
A semigroup approach to a reaction–diffusion system with cross-diffusion3
Editorial Board3
Variational solutions to the total variation flow on metric measure spaces3
Embedded Delaunay tori and their Willmore energy3
Regularity of flat free boundaries for a p(<3
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem3
k-convex hypersurfaces with prescribed Weingarten curvature in warped 3
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows3
Standing waves for 6-superlinear Chern–Simons–Schrödinger systems with indefinite potentials3
Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities3
Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold3
The Korteweg–de Vries equation on the half-line with Robin and Neumann data in low regularity spaces3
Cherrier–Escobar problem for the elliptic Schrödinger-to-Neumann map3
A regularity result for the Fokker–Planck equation with non-smooth drift and diffusion3
A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary3
On a new singular and degenerate extension of the p-Laplace operator3
Uniqueness for quasilinear elliptic problems in a two-component domain with <3
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