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 2021-12-01 to 2025-12-01.)
ArticleCitations
Trudinger–Moser type inequalities with a symmetric conical metric and a symmetric potential43
Doubly-nonlinear evolution equations of rate-independent type with irreversibility and energy balance law39
Large time asymptotics for the modified Korteweg–de Vries-Benjamin–Ono equation36
Global analytic solutions of a pseudospherical Novikov equation36
Editorial Board26
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity26
Editorial Board25
Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity23
Existence and nonexistence of sign-changing solutions for singular semilinear equations on exterior domains23
Variational and stability properties of coupled NLS equations on the star graph22
Subharmonic solutions in reversible non-autonomous differential equations21
Excess decay for minimizing hypercurrents mod 2Q19
An upper bound for the box dimension of the hyperbolic dynamics via unstable topological pressure16
Large global solutions to the three dimensional compressible flow of liquid crystals15
Stochastic Lagrangian perturbation of Lie transport and applications to fluids15
Improved regularity estimates for Lagrangian flows on RCD15
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension14
Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems14
Existence of solutions for hybrid systems of differential equations under exogenous information with discontinuous source term13
Hessian matrix non-decomposition theorem and its application to nonlinear filtering13
Higher regularity for minimizers of very degenerate convex integrals13
Editorial Board13
Oblique derivative problem in a plane sector for strong quasi-linear elliptic second-order equation with perturbed 13
Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher–KPP equation13
Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: The higher dimensional case12
Morse index computation for radial solutions of the Hénon problem in the disk12
On local energy decay for solutions to the b-family of peakon equations12
Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators12
Editorial Board12
Existence and regularity for solutions of quasilinear degenerate elliptic systems12
Editorial Board12
Measures in the dual of BV: peri11
Approximate boundary controllability for parabolic equations with inverse square infinite potential wells11
Narrow operators on C-complete lattice-normed spaces11
High order asymptotic inequalities for some dissipative systems11
Decay characterization of weak solutions for the MHD micropolar equations on <11
Everywhere regularity for local minimizers of asymptotically convex non-autonomous functionals11
Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes11
An uncertainty principle on the Lorentz spaces10
Editorial Board10
Transition fronts of Fisher–KPP equations in locally spatially inhomogeneous patchy environments10
Classification and symmetry of positive solutions for weighted integral system10
Editorial Board10
Existence and boundedness of weak solutions to some vectorial Dirichlet problems9
Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus9
Minimal energy configurations of bilayer plates as a polynomial optimization problem9
Weak solutions of coupled variable-density flows and heat transfer in porous media9
Global existence and Blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation9
Editorial Board9
Unique continuation from a crack’s tip under Neumann boundary conditions9
Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations9
Evolution of graphs in hyperbolic space by their Gauss curvature9
Interior pointwise C28
Editorial Board8
Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations8
On some nonlocal problems in the calculus of variations8
On the singular limit problem for a discontinuous nonlocal conservation law8
Cosh gradient systems and tilting8
A double obstacle problem in an optimal investment problem8
Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball8
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds II: Integral curvature condition8
A singular limit of a family of variational evolutions for a brittle elastic bi-layer8
Almost sure scattering for the nonlinear Klein–Gordon equations with Sobolev critical power8
Generalized Fountain Theorem for Locally Lipschitz Functionals and application8
8
The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain8
Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods8
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems8
Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source8
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals8
Lipschitz regularity of solutions to two-phase free boundary problems governed by a non-uniformly elliptic operator8
On the complex constant rank condition and inequalities for differential operators7
Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials7
Parabolic equations with non-standard growth and measure or integrable data7
Regularity of almost minimizers for the parabolic thin obstacle problem7
Homogenisation of local colloid evolution induced by reaction and diffusion7
Curved thin-film limits of chiral Dirichlet energies7
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups7
Extinction and non-extinction profiles for the sub-critical fast diffusion equation with weighted source7
Editorial Board7
Local uniqueness of minimizers for Choquard type equations7
A metric stability result for the very strict CD condition7
Stability of a coupled wave-Klein–Gordon system with non-compactly supported initial data7
Homogenization of discrete thin structures7
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials7
Best constants for weighted Hardy inequalities in the exterior of balls and circular cylinders7
Uniqueness and regularity of the fractional harmonic gradient flow in 7
A comparison principle for the Lane–Emden equation and applications to geometric estimates7
Generalized characteristics for finite entropy solutions of Burgers’ equation7
Exploring a modification of dp7
Scattering for the one dimensional Hartree Fock equation7
Ergodicity of the Fisher infinitesimal model with quadratic selection7
Uniqueness and multiple existence of positive radial solutions of the Brezis-Nirenberg problem on annular domains in 7
Solitons and solitonic vortices in a strip6
Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab6
Inverse pressure for finitely generated semigroups6
Planar Hamiltonian systems: Index theory and applications to the existence of subharmonics6
The 2-dimensional nonlinear Schrödinger–Maxwell system6
On a zero-mass (N,q<6
Local well posedness for a system of quasilinear PDEs modelling suspension bridges6
Quasiconformal properties of Qp6
A two phase boundary obstacle-type problem for the bi-Laplacian6
Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential6
Global solutions of quasi-linear Hamiltonian mKdV equation6
BMO estimates for Hodge–Maxwell systems with discontinuous anisotropic coefficients6
Editorial Board6
Exact controllability for nonlocal and nonlinear hyperbolic PDEs6
Partial gradient regularity for parabolic systems with degenerate diffusion and Hölder continuous coefficients6
Microscopic derivation of non-local models with anomalous diffusions from stochastic particle systems6
On blowup solutions for the mixed fractional Schrödinger equation of Choquard type6
A flow method for curvature equations6
Threshold dynamics approximation schemes for anisotropic mean curvature flows with a forcing term6
Inhomogeneous cancellation conditions and Calderón–Zygmund type operators on <6
Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models6
Editorial Board6
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint6
Infinitely many sign-changing solutions to a conformally invariant integral equation on 6
Approximation, regularity and positivity preservation on Riemannian manifolds6
On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces6
Monge–Ampère equations with right-hand sides of polynomial growth6
Self-similar solutions for the generalized fractional Korteweg–de Vries equation6
A smectic liquid crystal model in the periodic setting6
The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg–de Vries equation6
Prescribing Morse Scalar Curvatures: Incompatibility of Non Existence6
A partially overdetermined problem for the p-Laplace equation in a con5
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation5
Energy conservation of the compressible Euler equations and the Navier–Stokes equations via the gradient5
One-dimensional symmetry of solutions to non-cooperative elliptic systems5
Improved local existence result of the Green–Naghdi equations with the Coriolis effect5
A compactness result for inhomogeneous nonlinear Schrödinger equations5
Viability and invariance of systems on metric spaces5
Existence results for a borderline case of a class of 5
Propagation for KPP bulk-surface systems in a general cylindrical domain5
Editorial Board5
Existence result for a two-dimensional system of conservation laws with unilateral constraints5
Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation5
A log-weighted Moser inequality on the plane5
Boundary estimates for solutions of the Monge–Ampère equation satisfying Dirichlet–Neumann type conditions in annular domains5
Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree–Fock theory5
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 5
Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold5
Curved nonlinear waveguides5
Nonexistence of global solutions to the Euler–Poisson–Darboux equation in Rn: Subcritical case5
On the uniqueness of solutions to the isotropic L<5
Interface logistic problems: Large diffusion and singular perturbation results5
Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid5
Gradient estimates for weighted harmonic function with Dirichlet boundary condition5
Bubbling solutions of mixed type for a general non-Abelian Chern–Simons–Higgs system of rank 2 over a torus5
A Schwarz lemma and a Liouville theorem for generalized harmonic maps5
Low regularity theory for the inverse fractional conductivity problem5
Existence and asymptotic behavior of solutions for a quasilinear Schrödinger equation with Hardy potential5
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
Some qualitative and quantitative properties of weak solutions to mixed anisotropic and nonlocal quasilinear elliptic and doubly nonlinear parabolic equations5
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian5
Hadamard’s inequality in the mean4
Triviality of k-Yamabe gradient solitons immersed in certain warped pr4
On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows4
Norm inflation with infinite loss of regularity at general initial data for nonlinear wave equations in Wiener amalgam and Fourier amalgam spaces4
On fractional Poincaré inequality for unbounded domains with finite ball conditions: Counter example4
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces4
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups4
Editorial Board4
Convergence rate of solutions towards spiky steady state for the Keller–Segel system with logarithmic sensitivity4
A classical S4
L4
Weak solutions for steady, fully inhomogeneous generalized Navier-Stokes equations4
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem4
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions4
Cherrier–Escobar problem for the elliptic Schrödinger-to-Neumann map4
Korevaar–Schoen p-energies and their 4
Long-time asymptotics for the physical vacuum free boundary problem of compressible Euler equations with time-dependent damping4
Uniqueness of solutions to the isotropic 4
Minimizers for a one-dimensional interaction energy4
Decay of strong solution for the compressible Navier–Stokes equations with large initial data4
Well-posedness and inverse problems for semilinear nonlocal wave equations4
Boundedness for solutions of weighted forward–backward parabolic equations without assuming higher regularity4
Asymptotic profile of ground states for the Schrödinger–Poisson–Slater equation4
Precise asymptotics near a generic S4
C1,4
The global existence of generalized solutions to the time-dependent Thomas–Fermi equations4
Blow-up rate of sign-changing solutions to nonlinear parabolic systems in domains4
Minimization of a Ginzburg–Landau functional with mean curvature operator in 1-D4
Boundary Hölder regularity for a class of fully nonlinear elliptic partial differential equations4
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group4
Boundary value problems for Choquard equations4
A regularity result for the Fokker–Planck equation with non-smooth drift and diffusion4
Hodge theory on the Harmonic Gasket and other fractals4
Embedded Delaunay tori and their Willmore energy4
Homogenization in perforated domains at the critical scale4
The regularity theory for the double obstacle problem for fully nonlinear operator4
Almost minimizers to a transmission problem for (p4
Differentiability of monotone maps related to non quadratic costs4
Some rigidity properties for λ-self-expanders4
Existence results for the k-Hessian type system with the gradients vi4
Normalized solutions to Schrödinger systems with critical nonlinearities4
A Blaschke–Petkantschin formula for linear and affine subspaces with application to intersection probabilities4
Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold4
p-Wasserstein barycenters4
A fully nonlinear locally constrained anisotropic curvature flow4
Stochastic inviscid Leray-α model with transport noise: Convergence ra4
Thin film equations with nonlinear deterministic and stochastic perturbations3
Existence of minimizers for a generalized liquid drop model with fractional perimeter3
Injectivity of polynomial maps and foliations in the real plane3
A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary3
Monotone sets and local minimizers for the perimeter in Carnot groups3
Dissociation limit in Kohn–Sham density functional theory3
Jacobi fields in optimal control: Morse and Maslov indices3
Editorial Board3
Inner and outer smooth approximation of convex hypersurfaces. When is it possible?3
Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint3
Standing waves for 6-superlinear Chern–Simons–Schrödinger systems with indefinite potentials3
Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev–Petviashvili–Burgers equation in 2D3
Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms3
Static Black Hole Uniqueness for nonpositive masses3
Hyperbolic circle packings and total geodesic curvatures on surfaces with boundary3
Bernstein–Remez inequality for algebraic functions: A topological approach3
Stationary soap films with vertical potentials3
Quantitative estimates for parabolic optimal control problems under L3
Lagrangian solutions to the transport–Stokes system3
The anisotropic convexity of domains and the boundary estimate for two Monge–Ampère equations3
A Talenti comparison result for a class of Neumann boundary value problems3
Hopf bifurcation in a diffusive population system with nonlocal delay effect3
List’s flow with integral curvature bounds on complete noncompact Riemannian manifolds3
The very singular solution for the Anisotropic Fast Diffusion Equation and its consequences3
Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions3
A necessary condition for Sobolev extension domains in higher dimensions3
Global dynamics of stochastic tidal equations3
Elliptic Hamilton–Jacobi systems and Lane–Emden Hardy–Hénon equations3
Uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment3
Unconditional flocking for weak solutions to self-organized systems of Euler-type with all-to-all interaction kernel3
The Korteweg–de Vries equation on the half-line with Robin and Neumann data in low regularity spaces3
Standing waves for Schrödinger equations with Kato–Rellich potentials3
Derivation and well-posedness for asymptotic models of cold plasmas3
Local Lipschitz continuity for p,q3
Liouville-type results for some quasilinear anisotropic elliptic equations3
The Nonlinear Schrödinger–Airy equation in weighted Sobolev spaces3
Series expansion of weighted Finsler–Kato–Hardy inequalities3
Absence of Lavrentiev’s gap for anisotropic functionals3
Bifurcation of double eigenvalues for Aharonov–Bohm operators with a moving pole3
Fractional Hardy–Rellich inequalities via integration by parts3
An estimate concerning the difference between minimizer and boundary value in some polyconvex problems3
A semigroup approach to a reaction–diffusion system with cross-diffusion3
Variational solutions to the total variation flow on metric measure spaces3
Magnetic curves in the generalized Heisenberg group3
Nonlinear elliptic p-Laplacian equations in the whole space3
The geometry of Φ(3
Editorial Board3
Global smooth solutions for hyperbolic systems with time-dependent damping3
Continuity up to the boundary for obstacle problems to porous medium type equations3
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