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
Asymptotic Issues for Fractional Laplacian on Long Cylinders	12
Relaxation for degenerate nonlinear functionals in the one-dimensional case	12
Global solutions to the Navier-Stokes equations with random diffusion	11
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
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	9
Sharp embeddings and existence results for Logarithmic p-Laplacian equations with critical growth	9
Linear convective stability of a front superposition with unstable connecting state	9
Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem	8
Viscosity solutions to nonlocal generalized p-Laplacian: existence, uniqueness, and regularity	8
On the one-dimensional Pompeiu problem	8
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	8
A note on averaging for the dispersion-managed NLS	8
Maximum principles for elliptic operators in unbounded Riemannian domains	7
Dual variational methods for time-harmonic nonlinear Maxwell’s equations	7
Nonlinear dynamic problems for 2D magnetoelastic waves	7
Liouville-type theorems for fractional Hardy–Hénon systems	7
Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces	7
Global stability of three trophic levels predator–prey model with alarm-taxis	7
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	6
A new space of generalised vector-valued functions of bounded variation	6

Fractional Parabolic Theory as a High-Dimensional Limit of Fractional Elliptic Theory	6
Boundedness in a quasilinear attraction-repulsion chemotaxis system with flux limitation	6
Stability of translating states for self-propelled swarms	6
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	6
Classical and generalized solutions of an alarm-taxis model	6
Attractors for a class of wave equations with nonlocal structural energy damping	6
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation	5
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	5
Gradient estimates for double phase problems with two modulating coefficients	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
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
Existence and uniqueness results for a class of nonlinear transmission problem with $$L^1$$ data	5
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	5
Non-compact perturbations of coercive functionals and applications	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
Existence of ground state solutions to Kirchhoff–Choquard system in $$\mathbb {R}^3$$ with constant potentials	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
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	4
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Removable sets for Hölder continuous solutions of $$\mathcal {A}$$-harmonic functions on Finsler 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
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	4
Stability of complement value problems for p-Lévy operators	4
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	4
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	4
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	4
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations	4
On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
Convergence of asymptotic systems in Cohen–Grossberg neural network models with unbounded delays	3
Age-structured SIS-B epidemic model with limited environmental cleaning capacity	3
Removable singularities in the boundary for quasilinear elliptic equations	3
Elastic flow of curves with partial free boundary	3
Global dynamics of a two-species clustering model with Lotka–Volterra competition	3
Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term	3
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	3
On the vanishing viscosity limit for inhomogeneous incompressible Navier-Stokes equations on bounded domains	3
Normalized solutions to a Choquard equation involving mixed local and nonlocal operators	3
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	3
On a local solvability of the contact Muskat problem	3
On the cubic-quintic Schrödinger equation	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Three results on the energy conservation for the 3D Euler equations	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

Global boundedness in a quasilinear chemotaxis model for tumor angiogenesis	3
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	3
Dynamics for a class of Krasovskii equations with energy damping effects	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
On backward Euler approximations for systems of conservation laws	3
Positive solutions of Schrödinger equations with potentials G-symmetric and vanishing at infinity	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Unique ergodicity in stochastic electroconvection	3
Optimal control for the conformal CR sub-Laplacian obstacle problem	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
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Blow up solutions of an asymptotically critical problem involving fractional Laplacian in compact Riemannian manifold	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
Global solvability of a three-dimensional degenerate Keller–Segel–Navier–Stokes system with flux-dependent sensitivity and superlinear production	2
Global classical solutions for a two-dimensional Keller-Segel-Navier-Stokes system of potential type	2
Partial regularity of minimizers for double phase functionals with variable exponents	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2
Analysis of Coupled Steady Navier-Stokes and Turbulent Kinetic Energy Equations with Velocity-Dependent Boundary Conditions	2
Supercritical Lane–Emden equation on a cone with an inhomogeneous Dirichlet boundary condition	2
A new decomposition method approach for strong and exponential stabilization of semilinear systems in banach spaces	2
Infinitely many solutions for a boundary Yamabe problem	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
Critical concave-convex problems in Carnot groups	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Approximation of the Solutions to Quasilinear Parabolic Problems with Perturbed $$VMO_x$$ Coefficients	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Uniqueness for the Schrödinger equation on graphs with potential vanishing at infinity	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
On the minimisation of the peak–to–average ratio	2
NLS ground states on the half-line with point interactions	2
On the strong local optimality for state-constrained control-affine problems	2
Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities	2
Blow-up criterion for the compressible Navier–Stokes system with inflow-outflow boundary conditions	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
Stability for the $$2\frac{1}{2}$$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Full boundary regularity for minimizers of a Cosserat energy functional	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
A symmetry result for fully nonlinear problems in exterior domains	2
Pohozaev identity for Finsler anisotropic problems	2
Interplay of flux limitation and nonlinear production in a two-dimensional Keller-Segel-Stokes system	2
The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
A double-phase Neumann problem with $$p = 1$$	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Fast reactions and slow manifolds	2
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction	2
On a doubly sublinear fractional p-Laplacian equation	2
Strongly singular problems with unbalanced growth and without summability of the weight function	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
Regularly varying solutions of subhomogeneous differential equations with p(t)-Laplacian	2
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Sommerfeld Radiation Condition for Helmholtz equations with long-range potentials	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
Function spaces on uniformly regular and singular Riemannian manifolds	2
Foreword to the Special Collection in Memory of Beppe Da Prato	1
Parabolic logistic equation with harvesting involving the fractional Laplacian	1
Correction to: Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	1
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	1
Convergence of maximal monotone operators in a Hilbert space	1
Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	1
Homogenization of Hamilton-Jacobi equations with defects leading to stratified problems	1
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth	1
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	1
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	1
Bifurcations from a normally degenerate cycle in forced planar differential equations	1
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	1
Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	1
Harnack inequalities with power $$\pmb {p\in (1,+\infty )}$$ for transition semigroups in Hilbert spaces	1
Impact of mixed boundary conditions on stochastic equations with noise at the boundary	1
On the rate of convergence in superquadratic Hamilton–Jacobi equations with state constraints	1
Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	1
Regularity for non-uniformly elliptic problems with $$(L^{p(\cdot )}, L^{q(\cdot )})$$-logarithmic growth	1
Variational description of uniform Lyapunov exponents via adapted metrics on exterior products	1

Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold	1
Classification of solutions to mixed order system with exponential Hartree nonlinearity and cubic nonlinearity in $$\mathbb {R}^{3}$$	1
Ergodicity for stochastic T-monotone parabolic obstacle problems	1
Nonexistence results for elliptic problems with supercritical growth in thin planar domains	1
Response solutions for a class of degenerate oscillators under quasi-periodic perturbations with a small parameter	1
Velocity diagram of traveling waves for discrete reaction–diffusion equations	1
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	1
The Cheeger cut and Cheeger problem in metric measure spaces	1
Global regularity of 2D generalized incompressible magnetohydrodynamic equations	1
Sharp and quantitative estimates for the p-Torsion of convex sets	1
Bounded solutions of degenerate elliptic equations with an Orlicz-gain Sobolev inequality	1
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	1
Breather solutions to nonlinear Maxwell equations with retarded material laws	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
On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus	1
Stackelberg exact controllability for the Boussinesq system	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
Unconditional deep-water limit of the intermediate long wave equation in low-regularity	1
Optimal decay rates for the 3D chemotaxis-Navier-Stokes equations in critical Besov spaces	1
Invariant cones for jump-diffusions in infinite dimensions	1
Existence of solutions for a slightly subcritical fractional Choquard problem	1
Generalized principal eigenvalues on $${\mathbb {R}}^{d}$$ of second order elliptic operators with rough nonlocal kernels	1
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	1
Regularity and uniqueness for a model of active particles with angle-averaged diffusions	1
Non-linear Gagliardo–Nirenberg inequality involving a second-order elliptic operator in non-divergent form	1
On the generalised Brézis–Nirenberg problem	1
Global boundedness of the weak solutions to componentwise coercive parabolic systems	1
Local wellposedness of Maxwell systems with retarded material laws in low regularity	1
Optimal stopping of BSDEs with constrained jumps and related double obstacle PDEs	1
The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping	1
The continuous dependence of the viscous Boussinesq equations uniformly with respect to the viscosity	1
Kirchhoff-type thin plates with mixed boundary conditions	1
A dynamic programming approach for controlled fractional SIS models	1
Convergence problem of the generalized Kadomtsev–Petviashvili II equation in anisotropic Sobolev space	1
Singular anisotropic elliptic equations with gradient-dependent lower order terms	1
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	1
Beirão da Veiga type criteria for the three dimensional isentropic compressible Navier-Stokes equations	1
Lipschitz potential estimates for diffusion with jumps	1
Calabi-Bernstein type asymptotic property of solutions for Dirichlet systems of the one-dimensional Minkowski-curvature	1
The Douglas formula in $$L^p$$	1
Regularizing effect for a nonlocal maxwell–schrödinger system	1
Weighted Aronson-Bénilan estimates and Harnack inequalities for slow diffusion equations with a nonlinear forcing term	1
Boundary estimates for doubly nonlinear parabolic equations	1
Supercritical problems via a fixed point argument on the cone of monotonic functions	1
Liouville theorems for Hénon type elliptic equation with mixed boundary conditions and finite Morse index	1
Regularity of the value function and quantitative propagation of chaos for mean field control problems	1
The role of the boundary in the existence of blow-up solutions for a doubly critical elliptic problem	1
Existence and non-existence results for cooperative elliptic systems without variational structure	1
Purely interior Hessian estimates for a kind of Monge-Ampère equations	1
On parabolic equations in Morrey spaces with VMO a and Morrey b,c	1
Weak and strong solutions to nonlinear SPDEs with unbounded noise	1
Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks	1
Life-span of solutions for a nonlinear parabolic system	1
On the structural properties of the bounded control set of a linear control system	1
Singular solutions for space-time fractional equations in a bounded domain	1
Boundary regularity of stationary critical points for a Cosserat energy functional	1
Variational approach for the singular perturbation domain wall system	1
Quasilinear problems with critical Sobolev exponent for the Grushin p-Laplace operator	1
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	1
Well-posedness of Whitham-Broer-Kaup equation with negative dispersion	1
The Cauchy problem for doubly degenerate parabolic equations with weights	1
Regularity of solutions to the Navier-Stokes equations under suitable conditions on initial data	0
Variation in the Number of Normally Hyperbolic Limit Tori in 3D Polynomial Vector Fields via Time Reparametrization and Hopf-Zero Bifurcation	0
Optimization of the survival threshold for anisotropic logistic equations with mixed boundary conditions	0
On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation	0
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	0
Mass-energy scattering criterion for double power Schrödinger equations	0
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	0
Notes on the uniqueness of Type II Yamabe metrics	0
Control results for a model of resonant interaction between short and long capillary-gravity waves	0
Global boundedness and asymptotic stability of the Keller-Segel system with growth source in the whole space	0
Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion	0
A global existence result for a class of double-phase eigenvalue problems with non-standard growth	0
The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations	0
The Brezis–Nirenberg problem for systems involving divergence-form operators	0
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
Semilinear stochastic heat equation with piecewise constant coefficients: Power variations and parameter estimation	0
Insensitizing control problem for the Kawahara equation	0
On the double weighted critical quasilinear Hénon problems	0
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	0
Domain characterization for Schrödinger operators with sub-quadratic singularity	0
Optimal control of epidemics by alternating vaccination strategies	0
Ground states for coupled NLS equations with double power nonlinearities	0
Long-time behavior for a non-autonomous Klein–Gordon–Schrödinger system with Yukawa coupling	0
Optimal control of a class of third-grade-Voigt equations	0
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	0
Non-radial solutions for higher order Hénon-type equation with critical exponent	0
Interpolation results for convergence of implicit Euler schemes with accretive operators	0
Stationary fronts and pulses for multistable equations with saturating diffusion	0
SPLASH SINGULARITIES FOR THE VISCOUS 2D BOUSSINESQ EQUATIONS WITH ZERO THERMAL DIFFUSIVITY	0
Feynman–Kac formula for BSDEs with jumps and time delayed generators associated to path-dependent nonlinear Kolmogorov equations	0
On the zero-noise limit for SDE’s singular at the initial time	0