Nodea-Nonlinear Differential Equations and Applications

Article	Citations
Global attractor for 3D Dirac equation with nonlinear point interaction	17
Invariance of sets under mutational inclusions on metric spaces	14
Periodic solutions of weakly coupled superlinear systems with indefinite terms	10
q-Laplace equation involving the gradient on general bounded and exterior domains	10
Hardy potential in existence and optimal summability in nonlinear elliptic equations	9
Decay estimates for the structural damped wave equations on Heisenberg groups	9
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	9
Relaxation for degenerate nonlinear functionals in the one-dimensional case	8
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	8
General stability estimates in nonlocal traffic models for several populations	8
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	8
Liouville-type theorems for fractional Hardy–Hénon systems	8
On the one-dimensional Pompeiu problem	7
Maximum principles for elliptic operators in unbounded Riemannian domains	7
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	7
Global stability of three trophic levels predator–prey model with alarm-taxis	7
A note on averaging for the dispersion-managed NLS	7
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	6
On the least-energy solutions of the pure Neumann Lane–Emden equation	6
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	6
Non-radial scattering theory for nonlinear Schrödinger equations with potential	6
Nonlinear dynamic problems for 2D magnetoelastic waves	6
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	5
Classical and generalized solutions of an alarm-taxis model	5
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	5

On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	5
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	5
Stability of translating states for self-propelled swarms	5
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	5
Generalized semi-local Klein–Gordon–Maxwell equations	5
A new space of generalised vector-valued functions of bounded variation	5
Attractors for a class of wave equations with nonlocal structural energy damping	5
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	5
Non-compact perturbations of coercive functionals and applications	5
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	4
Global higher integrability for a doubly nonlinear parabolic system	4
Strichartz estimates for Schrödinger equation with singular and time dependent potentials and application to NLS equations	4
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	4
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	4
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	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
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	4
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	4
Stability of complement value problems for p-Lévy operators	4
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	3
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Unique ergodicity in stochastic electroconvection	3
Partial regularity of minimizers for double phase functionals with variable exponents	3
Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents	3
Three results on the energy conservation for the 3D Euler equations	3
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
Existence in the nonlinear Schrödinger equation with bounded magnetic field	3
Dynamics for a class of Krasovskii equations with energy damping effects	3
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	3
Optimal control for the conformal CR sub-Laplacian obstacle problem	3
Global dynamics of a two-species clustering model with Lotka–Volterra competition	3
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	3
Fast reactions and slow manifolds	3
Elastic flow of curves with partial free boundary	3
Lattice approximations of the first-order mean field type differential games	3
On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term	3
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	3
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	3
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
Multi-population phase oscillator networks with higher-order interactions	3
NLS ground states on the half-line with point interactions	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3

Removable singularities in the boundary for quasilinear elliptic equations	3
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
Nonexistence results for elliptic problems with supercritical growth in thin planar domains	2
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	2
Classification of solutions to mixed order system with exponential Hartree nonlinearity and cubic nonlinearity in $$\mathbb {R}^{3}$$	2
On the continuum limit for a model of binary waveguide arrays	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
A dynamic model for viscoelasticity in domains with time-dependent cracks	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Pohozaev identity for Finsler anisotropic problems	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
On the strong local optimality for state-constrained control-affine problems	2
Low regularity solutions to the non-abelian Chern–Simons–Higgs system in the Lorenz gauge	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Life-span of solutions for a nonlinear parabolic system	2
Quasilinear elliptic equations with sub-natural growth terms in bounded domains	2
A symmetry result for fully nonlinear problems in exterior domains	2
Weak solutions for potential mean field games of controls	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
On backward Euler approximations for systems of conservation laws	2
A convection–diffusion model on a star-shaped graph	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping	2
Observability and attractors of nonlinear Von Kármán beams	2
On the generalised Brézis–Nirenberg problem	2
Full boundary regularity for minimizers of a Cosserat energy functional	2
Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes	2
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	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
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	1
Convergence problem of the generalized Kadomtsev–Petviashvili II equation in anisotropic Sobolev space	1
Existence and non-existence results for cooperative elliptic systems without variational structure	1
Convergence of maximal monotone operators in a Hilbert space	1
Regularity and uniqueness for a model of active particles with angle-averaged diffusions	1
Invariant cones for jump-diffusions in infinite dimensions	1
On the structural properties of the bounded control set of a linear control system	1
Renormalized solutions for convection-diffusion problems involving a nonlocal operator	1
A dynamic programming approach for controlled fractional SIS models	1
Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	1
Weak and strong solutions to nonlinear SPDEs with unbounded noise	1
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth	1
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	1
Global regularity of 2D generalized incompressible magnetohydrodynamic equations	1
The Cheeger cut and Cheeger problem in metric measure spaces	1
Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces	1
Liouville theorems for Hénon type elliptic equation with mixed boundary conditions and finite Morse index	1
Sharp and quantitative estimates for the p-Torsion of convex sets	1
Boundary estimates for doubly nonlinear parabolic equations	1
Lower bounds on mixing norms for the advection diffusion equation in $$\mathbb {R}^d$$	1
Generalized principal eigenvalues on $${\mathbb {R}}^{d}$$ of second order elliptic operators with rough nonlocal kernels	1
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	1
Parabolic logistic equation with harvesting involving the fractional Laplacian	1
On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus	1
On parabolic equations in Morrey spaces with VMO a and Morrey b,c	1
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	1
Unconditional deep-water limit of the intermediate long wave equation in low-regularity	1
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	1
Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold	1
On solutions for fractional $$\pmb {N/s}$$-Laplacian equations involving exponential growth	1
A singular problem with nonlinearities of exponential growth	1
On uniqueness and stability for the Boltzmann–Enskog equation	1
Singular anisotropic elliptic equations with gradient-dependent lower order terms	1
Optimal decay rates for the 3D chemotaxis-Navier-Stokes equations in critical Besov spaces	1
Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	1
Correction to: Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	1
The Douglas formula in $$L^p$$	1

Velocity diagram of traveling waves for discrete reaction–diffusion equations	1
Micro-inertia effects on existence of attractors for Form II Mindlin’s strain gradient viscoelastic plate	1
Energy dissipation admissibility condition for conservation law systems admitting singular solutions	1
Existence and orbital stability of standing waves to a nonlinear Schrödinger equation with inverse square potential on the half-line	1
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	1
Impact of mixed boundary conditions on stochastic equations with noise at the boundary	1
Supercritical problems via a fixed point argument on the cone of monotonic functions	1
Singular solutions for space-time fractional equations in a bounded domain	1
Regularity of the value function and quantitative propagation of chaos for mean field control problems	1
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	1
Harnack inequalities with power $$\pmb {p\in (1,+\infty )}$$ for transition semigroups in Hilbert spaces	1
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	1
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	1
A Relation of the Allen–Cahn equations and the Euler equations and applications of the equipartition	1
Lipschitz potential estimates for diffusion with jumps	1
Long-time behavior of solutions to the generalized Allen–Cahn model with degenerate diffusivity	1
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons	1
Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	1
The Cauchy problem for doubly degenerate parabolic equations with weights	1
Boundary regularity of stationary critical points for a Cosserat energy functional	1
Optimal $$L^2$$-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity	1
Stackelberg exact controllability for the Boussinesq system	1
Bifurcations from a normally degenerate cycle in forced planar differential equations	1
A stochastic representation for the solution of approximated mean curvature flow	1
The role of the boundary in the existence of blow-up solutions for a doubly critical elliptic problem	1
The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations	0
Carleman estimates for Mindlin-Timoshenko system with discontinuous coefficients and applications	0
Feynman–Kac formula for BSDEs with jumps and time delayed generators associated to path-dependent nonlinear Kolmogorov equations	0
Global dynamics analysis of a class of quadratic polynomial differential systems with an invariant plane in $$\mathbb {R}^3$$	0
On the long-wave approximation of solitary waves in cylindrical coordinates	0
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	0
Stable critical point of the Robin function and bubbling phenomenon for a slightly subcritical elliptic problem	0
Stability and instability of radial standing waves to NLKG equation with an inverse-square potential	0
Modified scattering for a dispersion-managed nonlinear Schrödinger equation	0
Anisotropic 1-Laplacian problems with unbounded weights	0
A new critical curve for systems of evolution equations with semilinear coupling	0
Hardy spaces associated to generalized Hardy operators and applications	0
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions	0
Invariant hyperplanes for 2D Navier–Stokes equations perturbed by nonlocal terms	0
Doubling the equatorial for the prescribed scalar curvature problem on $${{\mathbb {S}}}^N$$	0
A weak KAM approach to the periodic stationary Hartree equation	0
Blowup and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation	0
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	0
Mass-energy scattering criterion for double power Schrödinger equations	0
Non-radial solutions for higher order Hénon-type equation with critical exponent	0
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	0
Remarks on KS models describing cell aggregation with obstacle interference	0
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	0
Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel	0
Notes on the uniqueness of Type II Yamabe metrics	0
On global existence and blowup of solutions of Stochastic Keller–Segel type equation	0
Domain characterization for Schrödinger operators with sub-quadratic singularity	0
Control results for a model of resonant interaction between short and long capillary-gravity waves	0
Existence and non-existence results for a semilinear fractional Neumann problem	0
Regularity for minimizers of scalar integral functionals with (p, q)-growth conditions	0
Bifurcation of nodal solutions for the Moore–Nehari differential equation	0
Asymptotic behavior analysis for non-autonomous quasi-geostrophic equations in $$\mathbb {R}^2$$	0
Correction to: Attractors for a class of wave equations with nonlocal structural energy damping	0
A sharp Hardy–Sobolev inequality with boundary term and applications	0
Global well-posedness for eddy-mean vorticity equations on $$\mathbb {T}^2$$	0
Quasi-static limit for a hyperbolic conservation law	0
On the interior regularity conditions of a suitable weak solution to 3D MHD equations	0
Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems	0
Dissipation enhancement by transport noise for stochastic p-Laplace equations	0
Nonlinear variational inequalities with variable regular bilateral constraints in variable domains	0
Two results related to elliptic and parabolic equations. Case of Morrey spaces	0
Second order local minimal-time mean field games	0
Semilinear Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities	0
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	0
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	0
A convergence theorem for Crandall–Lions viscosity solutions to path-dependent Hamilton–Jacobi–Bellman PDEs	0
Hybrid control for optimal visiting problems for a single player and for a crowd	0
Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces and their applications	0
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	0
Two-phase Stokes flow by capillarity in the plane: The case of different viscosities	0
Existence of similarity profiles for diffusion equations and systems	0
Stationary fronts and pulses for multistable equations with saturating diffusion	0
Asymptotic mean value properties for the elliptic and parabolic double phase equations	0
Ground states for coupled NLS equations with double power nonlinearities	0
Strict BV relaxed area of Sobolev maps into the circle: the high dimension case	0
Boundary controllability for a coupled system of parabolic equations with singular potentials	0
Large time behavior for a quasilinear diffusion equation with weighted source	0
Semilinear $$\sigma $$-evolution models with friction and visco-elastic type damping	0
Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media	0
Insensitizing control problem for the Kawahara equation	0
Temporal-spatial decays for the Stokes flows in half spaces	0
The Brezis–Nirenberg problem for systems involving divergence-form operators	0
New critical point theorem and infinitely many normalized small-magnitude solutions of mass supercritical Schrödinger equations	0
Harmonic embeddings of the Stretched Sierpinski Gasket	0
On the double weighted critical quasilinear Hénon problems	0
On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation	0
On optimal controls in coefficients for ill-posed elliptic Neumann boundary value problem with anisotropic p-Laplace operator	0
The bounded slope condition for parabolic equations with time-dependent integrands	0
A new space of generalised functions with bounded variation motivated by fracture mechanics	0
Bi-Kolmogorov type operators and weighted Rellich’s inequalities	0