Nonlinear Analysis-Theory Methods & Applications

Article	Citations
Constant sign solutions for double phase problems with superlinear nonlinearity	75
A variational approach to parabolic equations under general and p	35
Regularity for double phase problems under additional integrability assumptions	29
Existence of solution to Korteweg–de Vries equation in a non-parabolic domain	29
Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity	29
Radial symmetry of solution for fractionalp−	28
Scattering of radial solutions to the inhomogeneous nonlinear Schrödinger equation	28
Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent	26
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy	24
Anisotropic equations with indefinite potential and competing nonlinearities	23
Existence for fractional (p,	20
Concentration phenomena for a class of fractional Kirchhoff equations in	20
Gradient estimates for problems with Orlicz growth	20
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems	19
The evolution fractional p-Laplacian equation in 19
Turbulent flows as generalized Kelvin–Voigt materials: Modeling and analysis	18
Campanato–Morrey spaces for the double phase functionals with variable exponents	18
Inverse problems for fractional semilinear elliptic equations	17
On the critical Schrödinger–Bopp–Podolsky system with general nonlinearities	17
Abstract Cauchy problems for the generalized fractional calculus	16
Infinitely many solutions for double phase problem with unbounded potential in	15
B 1 classes of De Giorgi–Ladyzhenskaya–Ural’tsev	15
Sign-changing solutions for nonlinear Schrödinger–Poisson systems with subquadratic or quadratic growth at infinity	15
Asymptotic behavior for a dissipative nonlinear Schrödinger equation	15
Isoperimetric sets in spaces with lower bounds on the Ricci curvature	14

Developments and perspectives in Nonlinear Potential Theory	14
Local Lipschitz continuity for p,q	14
A nonlinear parabolic problem with singular terms and nonregular data	14
Regularity results for a class of non-differentiable obstacle problems	13
Interior and up to the boundary regularity for the fractional g-Laplac	13
Saddle solutions for the Choquard equation II	13
Boundedness and convergence of constant equilibria in a two-species chemotaxis-competition system with loop	13
Maximum principles for some quasilinear elliptic systems	12
Infinitely many solutions for Kirchhoff problems with lack of compactness	12
Global existence and stabilization in a forager–exploiter model with general logistic sources	12
Multiplicity and concentration results for fractional Choquard equations: Doubly critical case	12
Existence and concentration of ground state solutions for Choquard equations involving critical growth and steep potential well	12
Concentration-Compactness principle for Trudinger–Moser inequalities with logarithmic weights and their applications	12
Quasiconvexity in the fractional calculus of variations: Characterization of lower semicontinuity and relaxation	11
Ground states and non-existence results for Choquard type equations with lower critical exponent and indefinite potentials	11
On compactness results of Lions–Peetre type for bilinear operators	11
Pairs of positive radial solutions for a Minkowski-curvature Neumann problem with indefinite weight	11
Exponential stability of a class of nonlinear systems via fixed point theory	11
Interplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory terms	11
Ground state solutions for a Choquard equation with lower critical exponent and local nonlinear perturbation	11
Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms	11
Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces	10
Stationary soap films with vertical potentials	10
Existence and weak–strong uniqueness of solutions to the Cahn–Hilliard–Navier–Stokes–Darcy system in superposed free flow and porous media	10
Lorentz improving estimates for the p-Laplace equations with mixed da	10
A space-fractional Stefan problem	10
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation	10
Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces	10
Nonlocal differential equations with concave coefficients of convolution type	10
Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth	10
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions	10
Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights	10
Applications of cone structures to the anisotropic rheonomic Huygens’ principle	10
Existence of solution for a class of nonvariational Kirchhoff type problem via dynamical methods	10
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing	9
Hs,	9
Homoclinic solutions for fractional discrete Laplacian equations	9
A measure theoretical approach to the mean-field maximum principle for training NeurODEs	9
Ground state solutions for fractional Choquard equations involving upper critical exponent	9
Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces	9
Large mass minimizers for isoperimetric problems with integrable nonlocal potentials	9
Nonlinear Robin problems with indefinite potential	9
Existence of multiple semiclassical solutions for a critical Choquard equation with indefinite potential	9
Local regularity for quasi-linear parabolic equations in non-divergence form	9
Blow-up phenomena in a parabolic–elliptic–elliptic attraction–repulsion chemotaxis system with superlinear logistic degradation	9
Relating notions of convergence in geometric analysis	9
Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance	9
Nondegeneracy of solutions for a critical Hartree equation	9
Lavrentiev gap for some classes of generalized Orlicz functions	9
Fractional elliptic problem in exterior domains with nonlocal Neumann condition	9

Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models	8
Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions	8
Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent	8
Fully nontrivial solutions to elliptic systems with mixed couplings	8
The sliding method for the nonlocal Monge–Ampère operator	8
Existence results for elliptic problems with gradient terms via a priori estimates	8
Gradient estimates for nonlinear elliptic double obstacle problems	8
Hopf’s lemma for viscosity solutions to a class of non-local equations with applications	8
On critical Klein–Gordon–Maxwell systems with super-linear nonlinearities	8
Well-posedness and regularity for distribution dependent SPDEs with singular drifts	8
Higher order evolution inequalities with nonlinear convolution terms	8
Ergodic behavior of control and mean field games problems depending on acceleration	8
Blow-up and strong instability of standing waves for the NLS-δequation	8
Nodal solutions for the Schrödinger–Poisson equations with convolution terms	8
Stochastic Allen–Cahn equation with logarithmic potential	8
Very singular solutions for linear Dirichlet problems with singular convection terms	8
Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type	8
A test function method for evolution equations with fractional powers of the Laplace operator	8
Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances	8
The critical exponent for semilinear σ-evolution equations with a str	7
Nonlocal diffusion equations with dynamical boundary conditions	7
Uncertainty quantification for the random viscous Burgers’ partial differential equation by using the differential transform method	7
Existence of solutions for Dirichlet elliptic problems with discontinuous nonlinearity	7
Can a population survive in a shifting environment using non-local dispersion?	7
Positive solutions for a system of second-order quasilinear boundary value problems	7
Interior and boundary higher integrability of very weak solutions for quasilinear parabolic equations with variable exponents	7
Exponential convergence in entropy and Wasserstein for McKean–Vlasov SDEs	7
Classical solutions for fractional porous medium flow	7
Embeddings of function spaces via the Caffarelli–Silvestre extension, capacities and Wolff potentials	7
On a mean field optimal control problem	7
Separate variable blow-up patterns for a reaction–diffusion equation with critical weighted reaction	7
Dynamics of a family of Lotka–Volterra systems in 7
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups	7
Compactness for conformal scalar-flat metrics on umbilic boundary manifolds	7
Well-posedness of a highly nonlinear shallow water equation on the circle	7
Well-posedness and ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces	7
A higher dispersion KdV equation on the line	7
Calderón–Zygmund estimates for general elliptic operators with double phase	7
Sharp Hardy–Trudinger–Moser inequalities in any N-dimensional hyperbo	7
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint	7
Nonlocal cross-diffusion systems for multi-species populations and networks	7
Estimates on translations and Taylor expansions in fractional Sobolev spaces	7
Singular limits with vanishing viscosity for nonlocal conservation laws	7
Convergence of some Mean Field Games systems to aggregation and flocking models	7
A degenerate population system: Carleman estimates and controllability	7
A refined criterion and lower bounds for the blow-up time in a parabolic–elliptic chemotaxis system with nonlinear diffusion	6
Bellman functions and dimension free L	6
Good geodesics satisfying the timelike curvature-dimension condition	6
Multiplicity and concentration of nontrivial solutions for fractional Schrödinger–Poisson system involving critical growth	6
Hopf bifurcation of a delayed reaction–diffusion model with advection term	6
Continuity results for degenerate diffusion equations with	6
On the regularity of the ω-minima of	6
A note on finite time blowup for dissipative Klein–Gordon equation	6
Concentration phenomena on Y-shaped metric graph for the Gierer–Mei	6
The number of positive solutions affected by the weight function to Kirchhoff type equations in high dimensions	6
Subdifferentials of marginal functions of parametric bang–bang control problems	6
Magnetic curves in the generalized Heisenberg group	6
Optimal well-posedness and forward self-similar solution for the Hardy–Hénon parabolic equation in critical weighted Lebesgue spaces	6
A Serrin-type problem with partial knowledge of the domain	6
On complete gradient Schouten solitons	6
Fractional total variation denoising model withL	6
Monotonicity of positive solutions for fractional p-systems in unbound	6
On the Shinbrot’s criteria for energy equality to Newtonian fluids: A simplified proof, and an extension of the range of application	6
Convergence of elastic flows of curves into manifolds	6
Liouville property and existence of entire solutions of Hessian equations	6
Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems	6
Ground state in the energy super-critical Gross–Pitaevskii equation with a harmonic potential	6
Refined probabilistic global well-posedness for the weakly dispersive NLS	6
Minimisers of a general Riesz-type problem	6
The volume-preserving Willmore flow	6
Limit cycles bifurcating from piecewise quadratic systems separated by a straight line	6
On the geometry of Einstein-type structures	6
On short-time bilinear Strichartz estimates and applications to the Shrira equation	6
Quantitative estimates for parabolic optimal control problems under L	6
A blow-up criterion for the inhomogeneous incompressible Euler equations	6
Maximum principles, Liouville theorem and symmetry results for the fractional g	6
Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions	6
Sharp threshold of global existence for nonlinear Schrödinger equation with partial confinement	6
On optimal C1,	6
On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility	6

Global existence for semilinear wave equations with scaling invariant damping in 3-D	6
On the practical stability with respect toh-manifolds of hybrid Kolmog	6
Corrigendum to “Homogenization of elliptic problems involving interfaces and singular data” [Nonlinear Anal. 189 (2019) 111562]	5
Positive solutions of indefinite logistic growth models with flux-saturated diffusion	5
On multiplicity of positive solutions for nonlocal equations with critical nonlinearity	5
An introduction to multiscale techniques in the theory of Anderson localization, Part I	5
The Korteweg–de Vries equation on the half-line with Robin and Neumann data in low regularity spaces	5
Existence of semiclassical solutions for some critical Schrödinger–Poisson equations with potentials	5
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials	5
Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density	5
On the mean value property of fractional harmonic functions	5
Bifurcation from infinity of the Schrödinger equation via invariant manifolds	5
Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group	5
Parabolic approaches to curvature equations	5
Attractors for nonclassical diffusion equations with dynamic boundary conditions	5
The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations	5
Existence of weak solutions to time-dependent mean-field games	5
The planar Least Gradient problem in convex domains, the case of continuous datum	5
Regularity of flat free boundaries for a p(<	5
Coupled elliptic systems in R	5
Singular Trudinger–Moser inequality and fractionalp-Laplace equations	5
Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity	5
Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori	5
Classification of positive solutions for an integral system on the half space	5
Minimizers for a one-dimensional interaction energy	5
Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence	5
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces	5
Regularity results for a class of doubly nonlinear very singular parabolic equations	5
Sobolev norms explosion for the cubic NLS on irrational tori	5
Existence of solutions to elliptic problems with fractional p-Laplacian and multiple critical nonlinearities in the entire space5
Sharp pointwise estimates for weighted critical p-Laplace equations	5
On the fine regularity of the singular set in the nonlinear obstacle problem	5
Sobolev inequalities for the symmetric gradient in arbitrary domains	5
Asymptotic expansion at infinity of solutions of Monge–Ampère type equations	5
Limiting weak type behavior for multilinear fractional integrals	5
Growing solutions of the fractionalp-Laplacian equation in the Fast D	5
Stability of solutions for nonlocal problems	5
Existence and concentration of ground state solutions for a class of Kirchhoff-type problems	5
Fixed point index theory for decomposable multivalued maps and applications to discontinuous	5
On grand Sobolev spaces and pointwise description of Banach function spaces	5
Comparison results for solutions to the anisotropic Laplacian with Robin boundary conditions	4
Sobolev regularity of polar fractional maximal functions	4
Solutions for a class of quasilinear Choquard equations with Hardy–Littlewood–Sobolev critical nonlinearity	4
A fully nonlinear locally constrained anisotropic curvature flow	4
On the analytic Birkhoff normal form of the Benjamin–Ono equation and applications	4
On local Lipschitz regularity for quasilinear equations in the Heisenberg group	4
Uniqueness results for higher order Lane-Emden systems	4
Dimension of divergence set of the wave equation	4
Orlicz–Sobolev nematic elastomers	4
Local existence of analytic sharp fronts for singular SQG	4
Necessary and sufficient conditions for the existence of entire subsolutions to	4
Finite time/Infinite time blow-up behaviors for the inhomogeneous nonlinear Schrödinger equation	4
Wolff’s inequality for intrinsic nonlinear potentials and quasilinear elliptic equations	4
Criterion for the functional dissipativity of second order differential operators with complex coefficients	4
On nonlocal Hénon type problems with the fractional Laplacian	4
Semilinear elliptic Schrödinger equations involving singular potentials and source terms	4
The boundedness of commutators of multilinear Marcinkiewicz integral	4
On the nonlinear Schrödinger equation on the Poincaré ball model	4
Gradient estimates for Orlicz double phase problems with variable exponents	4
A singular limit of a family of variational evolutions for a brittle elastic bi-layer	4
Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source	4
Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation	4
Embedded Delaunay tori and their Willmore energy	4
A note on higher order fractional Hardy–Sobolev inequalities	4
Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent	4
Density and non-density ofC	4
Stochastic solutions to evolution equations of non-local branching processes	4
Regularity theory for a nonlinear fractional reaction–diffusion equation	4
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group	4
Symmetric centers on planar cubic differential systems	4
Some Cheeger–Gromov–Taylor type compactness theorems via m-Bakry–Émery	4
Spectral stability of the Steklov problem	4
On a zero-mass (N,q<	4
Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces	4
Anisotropic fast diffusion equations	4
Cosh gradient systems and tilting	4
Positive solutions for parametric singular Dirichlet(p	4
Complete biconservative surfaces in the hyperbolic space H	4
Existence of solutions for an inhomogeneous fractional semilinear heat equation	4
Differential inclusions involving oscillatory terms	4
Existence of solutions to nonlinear parabolic equations via majorant integral kernel	4
A monotonicity property of the p-torsional rigidity	4
Local and global well-posedness for dispersion generalized Benjamin–Ono equations on the circle	4
Asymptotic behavior of solutions of nonautonomous neutral dynamical systems	4
Bubble solutions for Hénon type equation with nearly critical exponent in	4
Existence and multiplicity results for a class of semilinear elliptic equations	4
Large time behavior in a quasilinear chemotaxis model with indirect signal absorption	4
Boundedness of oscillation and variation of semigroups associated with Bessel Schrödinger operators	4
Quasilinear Schrödinger equations with singular and vanishing potentials involving exponential critical growth in	4
Localized nodal solutions of higher topological type for nonlinear Schrödinger–Poisson system	4
On the obstacle problem for fractional semilinear wave equations	4
Critical tori for mean curvature energies in Killing submersions	4
Algebraic multiplicity and topological degree for Fredholm operators	4
Minimization problem associated with an improved Hardy–Sobolev type inequality	4
Exponential stability of fast driven systems, with an application to celestial mechanics	4