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 2022-06-01 to 2026-06-01.)
ArticleCitations
Trudinger–Moser type inequalities with a symmetric conical metric and a symmetric potential49
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity39
Doubly-nonlinear evolution equations of rate-independent type with irreversibility and energy balance law39
Editorial Board26
Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity25
Editorial Board25
Editorial Board24
Oblique derivative problem in a plane sector for strong quasi-linear elliptic second-order equation with perturbed 23
Variational and stability properties of coupled NLS equations on the star graph21
Stochastic Lagrangian perturbation of Lie transport and applications to fluids20
Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems19
High order smoothness for stochastic Navier-Stokes equations with transport and stretching noise on bounded domains19
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension15
Higher regularity for minimizers of very degenerate convex integrals15
An upper bound for the box dimension of the hyperbolic dynamics via unstable topological pressure15
Existence of solutions for hybrid systems of differential equations under exogenous information with discontinuous source term14
Hessian matrix non-decomposition theorem and its application to nonlinear filtering14
Global analytic solutions of a pseudospherical Novikov equation14
Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: The higher dimensional case14
On the partial regularity of suitable weak solutions to the equations of shear thickening fluids14
Excess decay for minimizing hypercurrents mod 2Q14
Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher–KPP equation14
Large time asymptotics for the modified Korteweg–de Vries-Benjamin–Ono equation14
Editorial Board13
On local energy decay for solutions to the b-family of peakon equations13
Large global solutions to the three dimensional compressible flow of liquid crystals13
Existence of positive solutions for nonlinear elliptic equations with critical growth on exterior domains12
Editorial Board12
Travelling waves for Maxwell’s equations in nonlinear and symmetric media11
Measures in the dual of 11
Classification and symmetry of positive solutions for weighted integral system11
High order asymptotic inequalities for some dissipative systems11
Editorial Board11
Decay characterization of weak solutions for the MHD micropolar equations on <11
Editorial Board11
Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus10
Existence and boundedness of weak solutions to some vectorial Dirichlet problems10
Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations10
Existence and regularity for solutions of quasilinear degenerate elliptic systems10
Evolution of graphs in hyperbolic space by their Gauss curvature10
Isochronous centers on center manifolds in 10
Minimal energy configurations of bilayer plates as a polynomial optimization problem9
Weak solutions of coupled variable-density flows and heat transfer in porous media9
Narrow operators on C-complete lattice-normed spaces9
Unique continuation from a crack’s tip under Neumann boundary conditions9
Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes9
Global existence and Blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation9
An uncertainty principle on the Lorentz spaces9
Global solvability for viscous free surface flows of infinite depth in three and higher dimensions9
Everywhere regularity for local minimizers of asymptotically convex non-autonomous functionals8
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
Approximate boundary controllability for parabolic equations with inverse square infinite potential wells8
Editorial Board8
A singular limit of a family of variational evolutions for a brittle elastic bi-layer8
Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball8
Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations8
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds II: Integral curvature condition8
Homogenization of discrete thin structures7
A sharp volume inequality for mixed LYZ ellipsoids7
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals7
Exploring a modification of dp7
Best constants for weighted Hardy inequalities in the exterior of balls and circular cylinders7
Homogenisation of local colloid evolution induced by reaction and diffusion7
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials7
Fefferman–Stein type decomposition of 7
Generalized Fountain Theorem for Locally Lipschitz Functionals and application7
Stability of a coupled wave-Klein–Gordon system with non-compactly supported initial data7
A metric stability result for the very strict CD condition7
Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials7
Lipschitz regularity of solutions to two-phase free boundary problems governed by a non-uniformly elliptic operator7
Scattering for the one dimensional Hartree Fock equation7
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A double obstacle problem in an optimal investment problem7
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems7
On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces7
Partial gradient regularity for parabolic systems with degenerate diffusion and Hölder continuous coefficients7
Interior pointwise C27
Cosh gradient systems and tilting7
On the singular limit problem for a discontinuous nonlocal conservation law7
Threshold dynamics approximation schemes for anisotropic mean curvature flows with a forcing term6
Stability of positive radial steady states for the parabolic Hénon–Lane–Emden system6
On blowup solutions for the mixed fractional Schrödinger equation of Choquard type6
Inverse pressure for finitely generated semigroups6
Editorial Board6
Local uniqueness of minimizers for Choquard type equations6
On the complex constant rank condition and inequalities for differential operators6
Editorial Board6
Regularity of almost minimizers for the parabolic thin obstacle problem6
Global existence for a Leibenson type equation with reaction on Riemannian manifolds6
Ergodicity of the Fisher infinitesimal model with quadratic selection6
A comparison principle for the Lane–Emden equation and applications to geometric estimates6
A flow method for curvature equations6
Morse index stability for Sacks–Uhlenbeck approximations for harmonic maps into a sphere6
Extinction and non-extinction profiles for the sub-critical fast diffusion equation with weighted source6
Parabolic equations with non-standard growth and measure or integrable data6
Planar Hamiltonian systems: Index theory and applications to the existence of subharmonics6
Quasiconformal properties of Qp6
Curved thin-film limits of chiral Dirichlet energies6
A quantitative result for the k 6
Generalized characteristics for finite entropy solutions of Burgers’ equation6
Microscopic derivation of non-local models with anomalous diffusions from stochastic particle systems6
The 2-dimensional nonlinear Schrödinger–Maxwell system6
Uniqueness and multiple existence of positive radial solutions of the Brezis-Nirenberg problem on annular domains in 6
Local well posedness for a system of quasilinear PDEs modelling suspension bridges6
Monge–Ampère equations with right-hand sides of polynomial growth6
BMO estimates for Hodge–Maxwell systems with discontinuous anisotropic coefficients5
Approximation, regularity and positivity preservation on Riemannian manifolds5
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation5
Curved nonlinear waveguides5
Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential5
Low regularity theory for the inverse fractional conductivity problem5
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint5
Stability of some periodic configurations of discrete Lagrangian equations5
Geodesic loops and orthogonal geodesic chords without self-intersections5
The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg–de Vries equation5
Exponentially-tailed regularity and decay rate to equilibrium for the Boltzmann 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
Solitons and solitonic vortices in a strip5
A smectic liquid crystal model in the periodic setting5
Schauder type estimates and long-time behavior for elliptic equations associated with Lévy operators5
Editorial Board5
Existence results for a borderline case of a class of 5
Self-similar solutions for the generalized fractional Korteweg–de Vries equation5
A new mechanism for producing degenerate centers in polynomial differential systems5
Traveling gravity-capillary waves with odd viscosity5
One-dimensional symmetry of solutions to non-cooperative elliptic systems5
Inhomogeneous cancellation conditions and Calderón–Zygmund type operators on hp5
Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold5
Global solutions of quasi-linear Hamiltonian mKdV equation5
Prescribing Morse Scalar Curvatures: Incompatibility of Non Existence5
Viability and invariance of systems on metric spaces5
Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab5
On the uniqueness of solutions to the isotropic L<4
On dimension-free and potential-free estimates for Riesz transforms associated with Schrödinger operators4
p -4
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group4
Uniqueness of solutions to the isotropic 4
Nonexistence of global solutions to the Euler–Poisson–Darboux equation in Rn: Subcritical case4
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian4
Convergence rate of solutions towards spiky steady state for the Keller–Segel system with logarithmic sensitivity4
Some qualitative and quantitative properties of weak solutions to mixed anisotropic and nonlocal quasilinear elliptic and doubly nonlinear parabolic equations4
On the existence of optimal and ɛ 4
Existence and asymptotic behavior of solutions for a quasilinear Schrödinger equation with Hardy potential4
Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation4
Precise asymptotics near a generic S4
Editorial Board4
Differentiability of monotone maps related to non quadratic costs4
Boundedness for solutions of weighted forward–backward parabolic equations without assuming higher regularity4
Almost minimizers to a transmission problem for (p4
Boundary estimates for solutions of the Monge–Ampère equation satisfying Dirichlet–Neumann type conditions in annular domains4
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions4
Existence result for a two-dimensional system of conservation laws with unilateral constraints4
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups4
Stochastic inviscid Leray-α model with transport noise: Convergence ra4
Existence and nonexistence of solutions for weighted elliptic inequalities involving gradient terms4
A log-weighted Moser inequality on the plane4
Editorial Board4
Korevaar–Schoen p-energies and their 4
Embedded Delaunay tori and their Willmore energy4
Norm inflation with infinite loss of regularity at general initial data for nonlinear wave equations in Wiener amalgam and Fourier amalgam spaces4
Optimal gradient regularity to degenerate fully nonlinear elliptic models with oblique boundary condition4
The regularity theory for the double obstacle problem for fully nonlinear operator4
Existence results for the k-Hessian type system with the gradients vi4
A partially overdetermined problem for the p-Laplace equation in a con4
Energy conservation of the compressible Euler equations and the Navier–Stokes equations via the gradient4
Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid4
Improved local existence result of the Green–Naghdi equations with the Coriolis effect4
Interface logistic problems: Large diffusion and singular perturbation results4
The geometry of Φ(3
Absence of Lavrentiev’s gap for anisotropic functionals3
Hyperbolic circle packings and total geodesic curvatures on surfaces with boundary3
Fractional Hardy–Rellich inequalities via integration by parts3
Bernstein–Remez inequality for algebraic functions: A topological approach3
Minimization of a Ginzburg–Landau functional with mean curvature operator in 1-D3
Some rigidity properties for λ-self-expanders3
On aspects of the normalized Infinity Laplacian on Finsler manifolds3
k-convex hypersurfaces with prescribed Weingarten curvature in warped 3
Homogenization in perforated domains at the critical scale3
Generating loops and isolas in semilinear elliptic BVP’s3
A Blaschke–Petkantschin formula for linear and affine subspaces with application to intersection probabilities3
On fractional Poincaré inequality for unbounded domains with finite ball conditions: Counter example3
The Korteweg–de Vries equation on the half-line with Robin and Neumann data in low regularity spaces3
Standing waves for 6-superlinear Chern–Simons–Schrödinger systems with indefinite potentials3
Long-time asymptotics for the physical vacuum free boundary problem of compressible Euler equations with time-dependent damping3
Blow-up rate of sign-changing solutions to nonlinear parabolic systems in domains3
Hadamard’s inequality in the mean3
List’s flow with integral curvature bounds on complete noncompact Riemannian manifolds3
Uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment3
Editorial Board3
Editorial Board3
Elliptic Hamilton–Jacobi systems and Lane–Emden Hardy–Hénon equations3
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem3
Corrigendum to: “Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint” [Nonlinear Anal. 220 (2022) 112851]3
Hypergraph p 3
Variational solutions to the total variation flow on metric measure spaces3
Cherrier–Escobar problem for the elliptic Schrödinger-to-Neumann map3
Inner and outer smooth approximation of convex hypersurfaces. When is it possible?3
Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev–Petviashvili–Burgers equation in 2D3
C1,3
Fully nonlinear parabolic fixed transmission problems3
SBV functions in Carnot–Carathéodory spaces3
Weak solutions for steady, fully inhomogeneous generalized Navier-Stokes equations3
On a new singular and degenerate extension of the p-Laplace operator3
Symmetry of solutions to semilinear PDEs on Riemannian domains3
Hodge theory on the Harmonic Gasket and other fractals3
Nonlinear elliptic p-Laplacian equations in the whole space3
Well-posedness and inverse problems for semilinear nonlocal wave equations3
A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary3
A semigroup approach to a reaction–diffusion system with cross-diffusion3
Static Black Hole Uniqueness for nonpositive masses3
Global dynamics of stochastic tidal equations3
Derivation and well-posedness for asymptotic models of cold plasmas3
On the Aw–Rascle–Zhang traffic models with nonlocal look-ahead interactions3
Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms3
A Talenti comparison result for a class of Neumann boundary value problems3
Thermostatted kinetic theory in measure spaces: Well-posedness3
Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint3
A necessary condition for Sobolev extension domains in higher dimensions3
A classical S3
A regularity result for the Fokker–Planck equation with non-smooth drift and diffusion3
Boundary Lipschitz regularity of solutions for general semilinear elliptic equations in divergence form3
The global existence of generalized solutions to the time-dependent Thomas–Fermi equations3
Microstructural evolution in 3D: An existence result3
Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions3
Boundary value problems for Choquard equations3
Semilinear effectively damped wave models with general relaxation function3
Global smooth solutions for hyperbolic systems with time-dependent damping3
Triviality of k-Yamabe gradient solitons immersed in certain warped product spaces3
Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold3
De Leeuw representations of functionals on Lipschitz spaces3
Normalized solutions to Schrödinger systems with critical nonlinearities3
L3
Standing waves for Schrödinger equations with Kato–Rellich potentials3
The blow-up dynamics for the divergence Schrödinger equations with inhomogeneous nonlinearity3
Large global bounded solutions for the parabolic–elliptic Keller–Segel system via a framework of sum-closed frequency sets3
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