Nodea-Nonlinear Differential Equations and Applications

Article	Citations
Global attractor for 3D Dirac equation with nonlinear point interaction	19
Invariance of sets under mutational inclusions on metric spaces	14
Hardy potential in existence and optimal summability in nonlinear elliptic equations	10
q-Laplace equation involving the gradient on general bounded and exterior domains	10
Periodic solutions of weakly coupled superlinear systems with indefinite terms	10
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	10
General stability estimates in nonlocal traffic models for several populations	9
Correction to: Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	9
Relaxation for degenerate nonlinear functionals in the one-dimensional case	9
Decay estimates for the structural damped wave equations on Heisenberg groups	8
Viscosity solutions to nonlocal generalized p-Laplacian: existence, uniqueness, and regularity	8
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	8
Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem	7
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	7
On the one-dimensional Pompeiu problem	7
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	7
A note on averaging for the dispersion-managed NLS	7
Liouville-type theorems for fractional Hardy–Hénon systems	7
Global stability of three trophic levels predator–prey model with alarm-taxis	7
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	6
Nonlinear dynamic problems for 2D magnetoelastic waves	6
Maximum principles for elliptic operators in unbounded Riemannian domains	6
Classical and generalized solutions of an alarm-taxis model	5
A new space of generalised vector-valued functions of bounded variation	5
On the least-energy solutions of the pure Neumann Lane–Emden equation	5

On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	5
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	5
Non-radial scattering theory for nonlinear Schrödinger equations with potential	5
Attractors for a class of wave equations with nonlocal structural energy damping	5
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	5
Stability of translating states for self-propelled swarms	5
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	5
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	5
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	4
Non-compact perturbations of coercive functionals and applications	4
Stability of complement value problems for p-Lévy operators	4
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	4
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	4
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	4
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Strichartz estimates for Schrödinger equation with singular and time dependent potentials and application to NLS equations	4
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions	4
Generalized semi-local Klein–Gordon–Maxwell equations	4
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	4
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	4
Global higher integrability for a doubly nonlinear parabolic system	4
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation	4
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Elastic flow of curves with partial free boundary	3
Global dynamics of a two-species clustering model with Lotka–Volterra competition	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Existence in the nonlinear Schrödinger equation with bounded magnetic field	3
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	3
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	3
Dynamics for a class of Krasovskii equations with energy damping effects	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
Lattice approximations of the first-order mean field type differential games	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	3
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	3
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	3
On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents	3
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	3
Removable singularities in the boundary for quasilinear elliptic equations	3
Three results on the energy conservation for the 3D Euler equations	3
Unique ergodicity in stochastic electroconvection	3
Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term	3
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations	3

A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	3
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	3
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	3
Optimal control for the conformal CR sub-Laplacian obstacle problem	3
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	3
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
On backward Euler approximations for systems of conservation laws	2
A dynamic model for viscoelasticity in domains with time-dependent cracks	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
NLS ground states on the half-line with point interactions	2
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities	2
Boundary regularity of stationary critical points for a Cosserat energy functional	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
Full boundary regularity for minimizers of a Cosserat energy functional	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
A convection–diffusion model on a star-shaped graph	2
Age-structured SIS-B epidemic model with limited environmental cleaning capacity	2
On the cubic-quintic Schrödinger equation	2
Low regularity solutions to the non-abelian Chern–Simons–Higgs system in the Lorenz gauge	2
Partial regularity of minimizers for double phase functionals with variable exponents	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
Function spaces on uniformly regular and singular Riemannian manifolds	2
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2
Life-span of solutions for a nonlinear parabolic system	2
Quasilinear elliptic equations with sub-natural growth terms in bounded domains	2
The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2
Supercritical Lane–Emden equation on a cone with an inhomogeneous Dirichlet boundary condition	2
Pohozaev identity for Finsler anisotropic problems	2
Infinitely many solutions for a boundary Yamabe problem	2
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
Multi-population phase oscillator networks with higher-order interactions	2
A symmetry result for fully nonlinear problems in exterior domains	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
Fast reactions and slow manifolds	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
On the strong local optimality for state-constrained control-affine problems	2
On the generalised Brézis–Nirenberg problem	2
The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
Stability for the $$2\frac{1}{2}$$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
On the continuum limit for a model of binary waveguide arrays	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	1
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	1
Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	1
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	1
Regularity of the value function and quantitative propagation of chaos for mean field control problems	1
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	1
Existence and non-existence results for cooperative elliptic systems without variational structure	1
The Cauchy problem for doubly degenerate parabolic equations with weights	1
The Cheeger cut and Cheeger problem in metric measure spaces	1
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	1
Optimal decay rates for the 3D chemotaxis-Navier-Stokes equations in critical Besov spaces	1
Nonexistence results for elliptic problems with supercritical growth in thin planar domains	1
Boundary estimates for doubly nonlinear parabolic equations	1
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons	1
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	1
Invariant cones for jump-diffusions in infinite dimensions	1
Unconditional deep-water limit of the intermediate long wave equation in low-regularity	1
Existence of solutions for a slightly subcritical fractional Choquard problem	1
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	1
A Relation of the Allen–Cahn equations and the Euler equations and applications of the equipartition	1
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	1
Lower bounds on mixing norms for the advection diffusion equation in $$\mathbb {R}^d$$	1
Singular anisotropic elliptic equations with gradient-dependent lower order terms	1
On uniqueness and stability for the Boltzmann–Enskog equation	1
Weak and strong solutions to nonlinear SPDEs with unbounded noise	1
Stackelberg exact controllability for the Boussinesq system	1
Global regularity of 2D generalized incompressible magnetohydrodynamic equations	1
Homogenization of Hamilton-Jacobi equations with defects leading to stratified problems	1
Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces	1

The Douglas formula in $$L^p$$	1
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	1
On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus	1
Sharp and quantitative estimates for the p-Torsion of convex sets	1
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	1
Supercritical problems via a fixed point argument on the cone of monotonic functions	1
Harnack inequalities with power $$\pmb {p\in (1,+\infty )}$$ for transition semigroups in Hilbert spaces	1
On the structural properties of the bounded control set of a linear control system	1
A stochastic representation for the solution of approximated mean curvature flow	1
Bifurcations from a normally degenerate cycle in forced planar differential equations	1
Lipschitz potential estimates for diffusion with jumps	1
Optimal $$L^2$$-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity	1
Classification of solutions to mixed order system with exponential Hartree nonlinearity and cubic nonlinearity in $$\mathbb {R}^{3}$$	1
Long-time behavior of solutions to the generalized Allen–Cahn model with degenerate diffusivity	1
Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	1
Energy dissipation admissibility condition for conservation law systems admitting singular solutions	1
Correction to: Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	1
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth	1
Velocity diagram of traveling waves for discrete reaction–diffusion equations	1
Convergence of finite difference schemes for lower semicontinuous viscosity solutions and applications to discrete random processes	1
Observability and attractors of nonlinear Von Kármán beams	1
A dynamic programming approach for controlled fractional SIS models	1
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	1
A singular problem with nonlinearities of exponential growth	1
Regularity and uniqueness for a model of active particles with angle-averaged diffusions	1
Liouville theorems for Hénon type elliptic equation with mixed boundary conditions and finite Morse index	1
The Brezis–Nirenberg problem for systems involving divergence-form operators	0
Optimization of the survival threshold for anisotropic logistic equations with mixed boundary conditions	0
Non-radial solutions for higher order Hénon-type equation with critical exponent	0
Carleman estimates for Mindlin-Timoshenko system with discontinuous coefficients and applications	0
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	0
Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel	0
The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations	0
On the long-wave approximation of solitary waves in cylindrical coordinates	0
Notes on the uniqueness of Type II Yamabe metrics	0
Stability and instability of radial standing waves to NLKG equation with an inverse-square potential	0
Control results for a model of resonant interaction between short and long capillary-gravity waves	0
Parabolic equations and SDEs with time-inhomogeneous Morrey drift	0
Dissipation enhancement by transport noise for stochastic p-Laplace equations	0
Simple Lyapunov spectrum for linear homogeneous differential equations with $$L^p$$ parameters	0
Insensitizing control problem for the Kawahara equation	0
Correction to: Attractors for a class of wave equations with nonlocal structural energy damping	0
Normalized ground states for a coupled Schrödinger system: mass super-critical case	0
Mass-energy scattering criterion for double power Schrödinger equations	0
Global well-posedness for eddy-mean vorticity equations on $$\mathbb {T}^2$$	0
Conditions of boundary layer separation for Boussinesq equations	0
On the interior regularity conditions of a suitable weak solution to 3D MHD equations	0
A convergence theorem for Crandall–Lions viscosity solutions to path-dependent Hamilton–Jacobi–Bellman PDEs	0
New critical point theorem and infinitely many normalized small-magnitude solutions of mass supercritical Schrödinger equations	0
Nonlinear variational inequalities with variable regular bilateral constraints in variable domains	0
Bi-Kolmogorov type operators and weighted Rellich’s inequalities	0
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	0
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	0
Invariant hyperplanes for 2D Navier–Stokes equations perturbed by nonlocal terms	0
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	0
Boundary controllability for a coupled system of parabolic equations with singular potentials	0
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	0
Regularity for minimizers of scalar integral functionals with (p, q)-growth conditions	0
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	0
On optimal controls in coefficients for ill-posed elliptic Neumann boundary value problem with anisotropic p-Laplace operator	0
Stationary fronts and pulses for multistable equations with saturating diffusion	0
Nirenberg problem on high dimensional spheres: blow up with residual mass phenomenon	0
Existence and regularity results for a class of singular parabolic problems with $$L^1$$ data	0
Hardy spaces associated to generalized Hardy operators and applications	0
Domain characterization for Schrödinger operators with sub-quadratic singularity	0
Doubling the equatorial for the prescribed scalar curvature problem on $${{\mathbb {S}}}^N$$	0
Energy decay for wave equations with a potential and a localized damping	0
Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media	0
On a characterization of the Rellich–Kondrachov theorem on groups and the Bloch spectral cell equation	0
Temporal-spatial decays for the Stokes flows in half spaces	0
Ground states for coupled NLS equations with double power nonlinearities	0
Sign-changing solution for an elliptic equation with critical growth at the boundary	0
Remarks on KS models describing cell aggregation with obstacle interference	0
Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces and their applications	0
Second order local minimal-time mean field games	0
The bounded slope condition for parabolic equations with time-dependent integrands	0
Semilinear $$\sigma $$-evolution models with friction and visco-elastic type damping	0
Hybrid control for optimal visiting problems for a single player and for a crowd	0
Existence of similarity profiles for diffusion equations and systems	0
On the double weighted critical quasilinear Hénon problems	0
Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise	0
Feynman–Kac formula for BSDEs with jumps and time delayed generators associated to path-dependent nonlinear Kolmogorov equations	0
Asymptotic behavior analysis for non-autonomous quasi-geostrophic equations in $$\mathbb {R}^2$$	0
Asymptotic mean value properties for the elliptic and parabolic double phase equations	0
Optimal control of epidemics by alternating vaccination strategies	0
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	0
Large time behavior for a quasilinear diffusion equation with weighted source	0
Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion	0
Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems	0
A new critical curve for systems of evolution equations with semilinear coupling	0
Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature	0
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions	0
A sharp Hardy–Sobolev inequality with boundary term and applications	0
Stable critical point of the Robin function and bubbling phenomenon for a slightly subcritical elliptic problem	0
Semilinear Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities	0