Nodea-Nonlinear Differential Equations and Applications

Article	Citations
Global attractor for 3D Dirac equation with nonlinear point interaction	22
Invariance of sets under mutational inclusions on metric spaces	15
Periodic solutions of weakly coupled superlinear systems with indefinite terms	14
q-Laplace equation involving the gradient on general bounded and exterior domains	13
Hardy potential in existence and optimal summability in nonlinear elliptic equations	10
Liouville-type theorems for fractional Hardy–Hénon systems	8
General stability estimates in nonlocal traffic models for several populations	8
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	8
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	8
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	8
Global stability of three trophic levels predator–prey model with alarm-taxis	7
On the one-dimensional Pompeiu problem	7
Maximum principles for elliptic operators in unbounded Riemannian domains	7
A note on averaging for the dispersion-managed NLS	7
Nonlinear dynamic problems for 2D magnetoelastic waves	7
Non-radial scattering theory for nonlinear Schrödinger equations with potential	6
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	6
Classical and generalized solutions of an alarm-taxis model	6
On the least-energy solutions of the pure Neumann Lane–Emden equation	6
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	6
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	5
Attractors for a class of wave equations with nonlocal structural energy damping	5
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	5
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	5
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	5

On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	5
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	5
Non-compact perturbations of coercive functionals and applications	5
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	5
Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities	5
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	5
Generalized semi-local Klein–Gordon–Maxwell equations	5
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	5
Stability of complement value problems for p-Lévy operators	5
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	5
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
Global higher integrability for a doubly nonlinear parabolic system	4
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	4
Elastic flow of curves with partial free boundary	4
Strichartz estimates for Schrödinger equation with singular and time dependent potentials and application to NLS equations	4
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	4
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	4
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	4
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	4
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	4
Periodic solutions of time-dependent perturbed Hamiltonian systems	4
Lattice approximations of the first-order mean field type differential games	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Existence in the nonlinear Schrödinger equation with bounded magnetic field	3
Partial regularity of minimizers for double phase functionals with variable exponents	3
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	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
Optimal control for the conformal CR sub-Laplacian obstacle problem	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
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
Three results on the energy conservation for the 3D Euler equations	3
On backward Euler approximations for systems of conservation laws	3
Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Global dynamics of a two-species clustering model with Lotka–Volterra competition	3
Unique ergodicity in stochastic electroconvection	3
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	3
NLS ground states on the half-line with point interactions	3
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	2
The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
A symmetry result for fully nonlinear problems in exterior domains	2
Stability estimate for a semilinear elliptic inverse problem	2

A dynamic model for viscoelasticity in domains with time-dependent cracks	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Pohozaev identity for Finsler anisotropic problems	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
On the strong local optimality for state-constrained control-affine problems	2
Boundary regularity of stationary critical points for a Cosserat energy functional	2
Nonexistence results for elliptic problems with supercritical growth in thin planar domains	2
On the continuum limit for a model of binary waveguide arrays	2
Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces	2
Low regularity solutions to the non-abelian Chern–Simons–Higgs system in the Lorenz gauge	2
Weak solutions for potential mean field games of controls	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
A convection–diffusion model on a star-shaped graph	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
Velocity diagram of traveling waves for discrete reaction–diffusion equations	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Quasilinear elliptic equations with sub-natural growth terms in bounded domains	2
On the generalised Brézis–Nirenberg problem	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	2
Multi-population phase oscillator networks with higher-order interactions	2
Life-span of solutions for a nonlinear parabolic system	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	1
Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	1
Global regularity of 2D generalized incompressible magnetohydrodynamic equations	1
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth	1
Weak and strong solutions to nonlinear SPDEs with unbounded noise	1
Bifurcations from a normally degenerate cycle in forced planar differential equations	1
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	1
Micro-inertia effects on existence of attractors for Form II Mindlin’s strain gradient viscoelastic plate	1
Long-time behavior of solutions to the generalized Allen–Cahn model with degenerate diffusivity	1
Energy dissipation admissibility condition for conservation law systems admitting singular solutions	1
Invariant cones for jump-diffusions in infinite dimensions	1
Optimal stopping of BSDEs with constrained jumps and related double obstacle PDEs	1
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	1
The role of the boundary in the existence of blow-up solutions for a doubly critical elliptic problem	1
Stackelberg exact controllability for the Boussinesq system	1
Parabolic logistic equation with harvesting involving the fractional Laplacian	1
Existence and non-existence results for cooperative elliptic systems without variational structure	1
Convergence of maximal monotone operators in a Hilbert space	1
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	1
Impact of mixed boundary conditions on stochastic equations with noise at the boundary	1
A singular problem with nonlinearities of exponential growth	1
The Cheeger cut and Cheeger problem in metric measure spaces	1
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons	1
The Douglas formula in $$L^p$$	1
Renormalized solutions for convection-diffusion problems involving a nonlocal operator	1
Harnack inequalities with power $$\pmb {p\in (1,+\infty )}$$ for transition semigroups in Hilbert spaces	1
Observability and attractors of nonlinear Von Kármán beams	1
A Relation of the Allen–Cahn equations and the Euler equations and applications of the equipartition	1
On uniqueness and stability for the Boltzmann–Enskog equation	1
A dynamic programming approach for controlled fractional SIS models	1
Optimal $$L^2$$-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity	1
A stochastic representation for the solution of approximated mean curvature flow	1
Well-posedness of Whitham-Broer-Kaup equation with negative dispersion	1
On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus	1
Convergence problem of the generalized Kadomtsev–Petviashvili II equation in anisotropic Sobolev space	1
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	1
Singular solutions for space-time fractional equations in a bounded domain	1
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	1
On parabolic equations in Morrey spaces with VMO a and Morrey b,c	1
Sharp and quantitative estimates for the p-Torsion of convex sets	1
On a class of elliptic free boundary problems with multiple solutions	1
Singular anisotropic elliptic equations with gradient-dependent lower order terms	1
Boundary estimates for doubly nonlinear parabolic equations	1
Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	1
Liouville theorems for Hénon type elliptic equation with mixed boundary conditions and finite Morse index	1
Correction to: Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	1

Regularity of the value function and quantitative propagation of chaos for mean field control problems	1
Lower bounds on mixing norms for the advection diffusion equation in $$\mathbb {R}^d$$	1
Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	1
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	1
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	1
Variational approach for the singular perturbation domain wall system	1
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	1
Global boundedness of the weak solutions to componentwise coercive parabolic systems	1
Supercritical problems via a fixed point argument on the cone of monotonic functions	1
Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold	1
Existence and orbital stability of standing waves to a nonlinear Schrödinger equation with inverse square potential on the half-line	1
Generalized principal eigenvalues on $${\mathbb {R}}^{d}$$ of second order elliptic operators with rough nonlocal kernels	1
The Cauchy problem for doubly degenerate parabolic equations with weights	1
Unconditional deep-water limit of the intermediate long wave equation in low-regularity	1
On solutions for fractional $$\pmb {N/s}$$-Laplacian equations involving exponential growth	1
On the structural properties of the bounded control set of a linear control system	1
A sharp Hardy–Sobolev inequality with boundary term and applications	0
On global existence and blowup of solutions of Stochastic Keller–Segel type equation	0
Nirenberg problem on high dimensional spheres: blow up with residual mass phenomenon	0
Correction to: Attractors for a class of wave equations with nonlocal structural energy damping	0
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions	0
Stability and instability of radial standing waves to NLKG equation with an inverse-square potential	0
Doubling the equatorial for the prescribed scalar curvature problem on $${{\mathbb {S}}}^N$$	0
The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations	0
Scattering threshold for the focusing coupled Schrödinger system revisited	0
A new critical curve for systems of evolution equations with semilinear coupling	0
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	0
The Brezis–Nirenberg problem for systems involving divergence-form operators	0
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	0
Quasi-static limit for a hyperbolic conservation law	0
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	0
On optimal controls in coefficients for ill-posed elliptic Neumann boundary value problem with anisotropic p-Laplace operator	0
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	0
Interpolation results for convergence of implicit Euler schemes with accretive operators	0
Bi-Kolmogorov type operators and weighted Rellich’s inequalities	0
Feynman–Kac formula for BSDEs with jumps and time delayed generators associated to path-dependent nonlinear Kolmogorov equations	0
Existence of similarity profiles for diffusion equations and systems	0
Hardy spaces associated to generalized Hardy operators and applications	0
Long-time behavior for a non-autonomous Klein–Gordon–Schrödinger system with Yukawa coupling	0
Stable critical point of the Robin function and bubbling phenomenon for a slightly subcritical elliptic problem	0
Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel	0
Bifurcation of nodal solutions for the Moore–Nehari differential equation	0
Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise	0
The tangent cone, the dimension and the frontier of the medial axis	0
Global well-posedness for eddy-mean vorticity equations on $$\mathbb {T}^2$$	0
Ground states for coupled NLS equations with double power nonlinearities	0
On the interior regularity conditions of a suitable weak solution to 3D MHD equations	0
Stationary fronts and pulses for multistable equations with saturating diffusion	0
A weak KAM approach to the periodic stationary Hartree equation	0
Existence and regularity results for a class of singular parabolic problems with $$L^1$$ data	0
Existence analysis of a degenerate diffusion system for heat-conducting gases	0
The bounded slope condition for parabolic equations with time-dependent integrands	0
On some noncoercive nonlinear problems in unbounded domains	0
Non-radial solutions for higher order Hénon-type equation with critical exponent	0
Hybrid control for optimal visiting problems for a single player and for a crowd	0
Nonlinear variational inequalities with variable regular bilateral constraints in variable domains	0
On the double weighted critical quasilinear Hénon problems	0
Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains	0
Second order local minimal-time mean field games	0
Remarks on KS models describing cell aggregation with obstacle interference	0
New critical point theorem and infinitely many normalized small-magnitude solutions of mass supercritical Schrödinger equations	0
Semilinear Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities	0
Control results for a model of resonant interaction between short and long capillary-gravity waves	0
Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations	0
Domain characterization for Schrödinger operators with sub-quadratic singularity	0
Existence and non-existence results for a semilinear fractional Neumann problem	0
Asymptotic behavior analysis for non-autonomous quasi-geostrophic equations in $$\mathbb {R}^2$$	0
Two-phase almost minimizers for a fractional free boundary problem	0
Anisotropic 1-Laplacian problems with unbounded weights	0
Modified scattering for a dispersion-managed nonlinear Schrödinger equation	0
Semilinear $$\sigma $$-evolution models with friction and visco-elastic type damping	0
Dissipation enhancement by transport noise for stochastic p-Laplace equations	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
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	0
A new space of generalised functions with bounded variation motivated by fracture mechanics	0
Strict BV relaxed area of Sobolev maps into the circle: the high dimension case	0
Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems	0
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	0
A damped elastodynamics system under the global injectivity condition: local wellposedness in $$L^p$$-spaces	0
Sign-changing solution for an elliptic equation with critical growth at the boundary	0
Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise	0
Harmonic embeddings of the Stretched Sierpinski Gasket	0
Mass-energy scattering criterion for double power Schrödinger equations	0
Stability in inverse source problems for nonlinear reaction–diffusion systems	0
Limit theorems of SDEs driven by Lévy processes and application to nonlinear filtering problems	0
A convergence theorem for Crandall–Lions viscosity solutions to path-dependent Hamilton–Jacobi–Bellman PDEs	0
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	0
On the long-wave approximation of solitary waves in cylindrical coordinates	0
Gradient higher integrability for singular parabolic double-phase systems	0
Regularity for minimizers of scalar integral functionals with (p, q)-growth conditions	0
Asymptotic mean value properties for the elliptic and parabolic double phase equations	0
Boundary controllability for a coupled system of parabolic equations with singular potentials	0
A family of nonlocal degenerate operators: maximum principles and related properties	0