Nodea-Nonlinear Differential Equations and Applications

Article	Citations
Invariance of sets under mutational inclusions on metric spaces	15
Hardy potential in existence and optimal summability in nonlinear elliptic equations	14
Decay estimates for the structural damped wave equations on Heisenberg groups	13
Relaxation for degenerate nonlinear functionals in the one-dimensional case	13
Global solutions to the Navier-Stokes equations with random diffusion	12
Asymptotic Issues for Fractional Laplacian on Long Cylinders	12
General stability estimates in nonlocal traffic models for several populations	11
q-Laplace equation involving the gradient on general bounded and exterior domains	10
Correction to: Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	9
On the one-dimensional Pompeiu problem	9
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	9
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	9
Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces	9
Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem	8
Global stability of three trophic levels predator–prey model with alarm-taxis	8
A note on averaging for the dispersion-managed NLS	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	7
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	7
Dual variational methods for time-harmonic nonlinear Maxwell’s equations	7
Liouville-type theorems for fractional Hardy–Hénon systems	7
Nonlinear dynamic problems for 2D magnetoelastic waves	7
Stability of translating states for self-propelled swarms	6
Boundedness in a quasilinear attraction-repulsion chemotaxis system with flux limitation	6
Generalized semi-local Klein–Gordon–Maxwell equations	6

Maximum principles for elliptic operators in unbounded Riemannian domains	6
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	6
Classical and generalized solutions of an alarm-taxis model	6
Attractors for a class of wave equations with nonlocal structural energy damping	6
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	6
Fractional Parabolic Theory as a High-Dimensional Limit of Fractional Elliptic Theory	6
A new space of generalised vector-valued functions of bounded variation	6
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	5
Existence and uniqueness results for a class of nonlinear transmission problem with $$L^1$$ data	5
Gradient estimates for double phase problems with two modulating coefficients	5
Stability of complement value problems for p-Lévy operators	5
Removable sets for Hölder continuous solutions of $$\mathcal {A}$$-harmonic functions on Finsler manifolds	5
Non-compact perturbations of coercive functionals and applications	5
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	5
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	5
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	5
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation	5
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	5
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	4
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations	4
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	4
Existence of ground state solutions to Kirchhoff–Choquard system in $$\mathbb {R}^3$$ with constant potentials	4
Global higher integrability for a doubly nonlinear parabolic system	4
On the vanishing viscosity limit for inhomogeneous incompressible Navier-Stokes equations on bounded domains	4
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	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
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	4
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	4
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	4
On backward Euler approximations for systems of conservation laws	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
Positive solutions of Schrödinger equations with potentials G-symmetric and vanishing at infinity	3
On a local solvability of the contact Muskat problem	3
Three results on the energy conservation for the 3D Euler equations	3
Optimal control for the conformal CR sub-Laplacian obstacle problem	3
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	3
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	3
On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	3
NLS ground states on the half-line with point interactions	3
Elastic flow of curves with partial free boundary	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	3
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
Normalized solutions to a Choquard equation involving mixed local and nonlocal operators	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Dynamics for a class of Krasovskii equations with energy damping effects	3

Convergence of asymptotic systems in Cohen–Grossberg neural network models with unbounded delays	3
On the cubic-quintic Schrödinger equation	3
Age-structured SIS-B epidemic model with limited environmental cleaning capacity	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Removable singularities in the boundary for quasilinear elliptic equations	3
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
Unique ergodicity in stochastic electroconvection	3
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	3
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	3
Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term	3
Global dynamics of a two-species clustering model with Lotka–Volterra competition	3
Multi-population phase oscillator networks with higher-order interactions	3
Global classical solutions for a two-dimensional Keller-Segel-Navier-Stokes system of potential type	2
Local wellposedness of Maxwell systems with retarded material laws in low regularity	2
On the generalised Brézis–Nirenberg problem	2
Full boundary regularity for minimizers of a Cosserat energy functional	2
Analysis of Coupled Steady Navier-Stokes and Turbulent Kinetic Energy Equations with Velocity-Dependent Boundary Conditions	2
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities	2
Supercritical Lane–Emden equation on a cone with an inhomogeneous Dirichlet boundary condition	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
Infinitely many solutions for a boundary Yamabe problem	2
On the strong local optimality for state-constrained control-affine problems	2
Interplay of flux limitation and nonlinear production in a two-dimensional Keller-Segel-Stokes system	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
On the minimisation of the peak–to–average ratio	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
A symmetry result for fully nonlinear problems in exterior domains	2
Partial regularity of minimizers for double phase functionals with variable exponents	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Classification of solutions to mixed order system with exponential Hartree nonlinearity and cubic nonlinearity in $$\mathbb {R}^{3}$$	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Pohozaev identity for Finsler anisotropic problems	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2
Stability for the $$2\frac{1}{2}$$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow	2
Sommerfeld Radiation Condition for Helmholtz equations with long-range potentials	2
Regularly varying solutions of subhomogeneous differential equations with p(t)-Laplacian	2
A new decomposition method approach for strong and exponential stabilization of semilinear systems in banach spaces	2
Blow up solutions of an asymptotically critical problem involving fractional Laplacian in compact Riemannian manifold	2
Uniqueness for the Schrödinger equation on graphs with potential vanishing at infinity	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
Global solvability of a three-dimensional degenerate Keller–Segel–Navier–Stokes system with flux-dependent sensitivity and superlinear production	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities	2
On a doubly sublinear fractional p-Laplacian equation	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
Life-span of solutions for a nonlinear parabolic system	2
Strongly singular problems with unbalanced growth and without summability of the weight function	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
Function spaces on uniformly regular and singular Riemannian manifolds	2
Approximation of the Solutions to Quasilinear Parabolic Problems with Perturbed $$VMO_x$$ Coefficients	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
A double-phase Neumann problem with $$p = 1$$	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
Critical concave-convex problems in Carnot groups	2
Fast reactions and slow manifolds	2
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2
Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	1
The Cheeger cut and Cheeger problem in metric measure spaces	1
Regularity of the value function and quantitative propagation of chaos for mean field control problems	1
Convergence of finite difference schemes for lower semicontinuous viscosity solutions and applications to discrete random processes	1
Ergodicity for stochastic T-monotone parabolic obstacle problems	1
Correction to: Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	1
Generalized principal eigenvalues on $${\mathbb {R}}^{d}$$ of second order elliptic operators with rough nonlocal kernels	1
Convergence problem of the generalized Kadomtsev–Petviashvili II equation in anisotropic Sobolev space	1
Boundary regularity of stationary critical points for a Cosserat energy functional	1
Variational approach for the singular perturbation domain wall system	1
Observability and attractors of nonlinear Von Kármán beams	1
Well-posedness of Whitham-Broer-Kaup equation with negative dispersion	1
The Cauchy problem for doubly degenerate parabolic equations with weights	1
Fourier Galerkin approximation of mean field control problems	1
Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	1
Impact of mixed boundary conditions on stochastic equations with noise at the boundary	1
Weak and strong solutions to nonlinear SPDEs with unbounded noise	1

The role of the boundary in the existence of blow-up solutions for a doubly critical elliptic problem	1
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	1
Bifurcations from a normally degenerate cycle in forced planar differential equations	1
Existence and non-existence results for cooperative elliptic systems without variational structure	1
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	1
On the structural properties of the bounded control set of a linear control system	1
Optimal decay rates for the 3D chemotaxis-Navier-Stokes equations in critical Besov spaces	1
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth	1
A Relation of the Allen–Cahn equations and the Euler equations and applications of the equipartition	1
Regularizing effect for a nonlocal maxwell–schrödinger system	1
Non-linear Gagliardo–Nirenberg inequality involving a second-order elliptic operator in non-divergent form	1
Regularity and uniqueness for a model of active particles with angle-averaged diffusions	1
Long-time behavior of solutions to the generalized Allen–Cahn model with degenerate diffusivity	1
Regularity for non-uniformly elliptic problems with $$(L^{p(\cdot )}, L^{q(\cdot )})$$-logarithmic growth	1
Convergence of maximal monotone operators in a Hilbert space	1
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	1
On parabolic equations in Morrey spaces with VMO a and Morrey b,c	1
A dynamic programming approach for controlled fractional SIS models	1
Optimal stopping of BSDEs with constrained jumps and related double obstacle PDEs	1
Nonexistence results for elliptic problems with supercritical growth in thin planar domains	1
Asymptotic stability of kink with internal modes under odd perturbation	1
Velocity diagram of traveling waves for discrete reaction–diffusion equations	1
Limit cycles for a piecewise polynomial potential perturbation of a symmetric 8-loop Hamiltonian	1
Breather solutions to nonlinear Maxwell equations with retarded material laws	1
Boundary estimates for doubly nonlinear parabolic equations	1
Lipschitz potential estimates for diffusion with jumps	1
The continuous dependence of the viscous Boussinesq equations uniformly with respect to the viscosity	1
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	1
Stackelberg exact controllability for the Boussinesq system	1
Invariant cones for jump-diffusions in infinite dimensions	1
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	1
Liouville theorems for Hénon type elliptic equation with mixed boundary conditions and finite Morse index	1
Weighted Aronson-Bénilan estimates and Harnack inequalities for slow diffusion equations with a nonlinear forcing term	1
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	1
Beirão da Veiga type criteria for the three dimensional isentropic compressible Navier-Stokes equations	1
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	1
Variational description of uniform Lyapunov exponents via adapted metrics on exterior products	1
Parabolic logistic equation with harvesting involving the fractional Laplacian	1
Supercritical problems via a fixed point argument on the cone of monotonic functions	1
Purely interior Hessian estimates for a kind of Monge-Ampère equations	1
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	1
Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks	1
Harnack inequalities with power $$\pmb {p\in (1,+\infty )}$$ for transition semigroups in Hilbert spaces	1
Sharp and quantitative estimates for the p-Torsion of convex sets	1
Singular solutions for space-time fractional equations in a bounded domain	1
The Douglas formula in $$L^p$$	1
Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold	1
The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping	1
Existence of bound states for quasilinear elliptic problems involving critical growth and frequency	1
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	1
Boundary blow-up solutions of second order quasilinear equation on infinite cylinders	1
Global regularity of 2D generalized incompressible magnetohydrodynamic equations	1
Response solutions for a class of degenerate oscillators under quasi-periodic perturbations with a small parameter	1
Quasilinear problems with critical Sobolev exponent for the Grushin p-Laplace operator	1
Global boundedness of the weak solutions to componentwise coercive parabolic systems	1
Calabi-Bernstein type asymptotic property of solutions for Dirichlet systems of the one-dimensional Minkowski-curvature	1
Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	1
Homogenization of Hamilton-Jacobi equations with defects leading to stratified problems	1
On the rate of convergence in superquadratic Hamilton–Jacobi equations with state constraints	1
Unconditional deep-water limit of the intermediate long wave equation in low-regularity	1
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	1
Singular anisotropic elliptic equations with gradient-dependent lower order terms	1
Existence of solutions for a slightly subcritical fractional Choquard problem	1
On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus	1
Optimal $$L^2$$-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity	1
Two results related to elliptic and parabolic equations. Case of Morrey spaces	0
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	0
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	0
Control results for a model of resonant interaction between short and long capillary-gravity waves	0
Notes on the uniqueness of Type II Yamabe metrics	0
Insensitizing control problem for the Kawahara equation	0
Variation in the Number of Normally Hyperbolic Limit Tori in 3D Polynomial Vector Fields via Time Reparametrization and Hopf-Zero Bifurcation	0
Nirenberg problem on high dimensional spheres: blow up with residual mass phenomenon	0
Existence of similarity profiles for diffusion equations and systems	0
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	0
Interpolation results for convergence of implicit Euler schemes with accretive operators	0
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	0
Non-radial solutions for higher order Hénon-type equation with critical exponent	0
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	0
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	0
Mass-energy scattering criterion for double power Schrödinger equations	0
On the double weighted critical quasilinear Hénon problems	0
Asymptotic behavior analysis for non-autonomous quasi-geostrophic equations in $$\mathbb {R}^2$$	0
Domain characterization for Schrödinger operators with sub-quadratic singularity	0
Nonlinear variational inequalities with variable regular bilateral constraints in variable domains	0
On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation	0
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	0
Semilinear stochastic heat equation with piecewise constant coefficients: Power variations and parameter estimation	0
Stationary fronts and pulses for multistable equations with saturating diffusion	0
Feynman–Kac formula for BSDEs with jumps and time delayed generators associated to path-dependent nonlinear Kolmogorov equations	0
Global boundedness and asymptotic stability of the Keller-Segel system with growth source in the whole space	0
SPLASH SINGULARITIES FOR THE VISCOUS 2D BOUSSINESQ EQUATIONS WITH ZERO THERMAL DIFFUSIVITY	0
Optimal control of a class of third-grade-Voigt equations	0
Critical point localization and multiplicity results in Banach spaces via Nehari manifold technique	0
The Brezis–Nirenberg problem for systems involving divergence-form operators	0