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
Periodic solutions of weakly coupled superlinear systems with indefinite terms	13
Decay estimates for the structural damped wave equations on Heisenberg groups	11
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	11
Hardy potential in existence and optimal summability in nonlinear elliptic equations	11
Correction to: Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	10
General stability estimates in nonlocal traffic models for several populations	10
Relaxation for degenerate nonlinear functionals in the one-dimensional case	10
q-Laplace equation involving the gradient on general bounded and exterior domains	9
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	8
Global stability of three trophic levels predator–prey model with alarm-taxis	8
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	8
On the one-dimensional Pompeiu problem	8
Liouville-type theorems for fractional Hardy–Hénon systems	8
Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem	7
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	7
A note on averaging for the dispersion-managed NLS	7
Nonlinear dynamic problems for 2D magnetoelastic waves	6
On the least-energy solutions of the pure Neumann Lane–Emden equation	6
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	6
Maximum principles for elliptic operators in unbounded Riemannian domains	6
Viscosity solutions to nonlocal generalized p-Laplacian: existence, uniqueness, and regularity	6
Stability of translating states for self-propelled swarms	5
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	5

Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	5
Classical and generalized solutions of an alarm-taxis model	5
Attractors for a class of wave equations with nonlocal structural energy damping	5
A new space of generalised vector-valued functions of bounded variation	5
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	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
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	5
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	5
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	5
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	5
Generalized semi-local Klein–Gordon–Maxwell equations	4
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	4
Existence and uniqueness results for a class of nonlinear transmission problem with $$L^1$$ data	4
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	4
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	4
Non-compact perturbations of coercive functionals and applications	4
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	4
Strichartz estimates for Schrödinger equation with singular and time dependent potentials and application to NLS equations	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
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation	4
Stability of complement value problems for p-Lévy operators	4
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	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
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
On backward Euler approximations for systems of conservation laws	3
Partial regularity of minimizers for double phase functionals with variable exponents	3
On a local solvability of the contact Muskat problem	3
Unique ergodicity in stochastic electroconvection	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
Existence in the nonlinear Schrödinger equation with bounded magnetic field	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
Dynamics for a class of Krasovskii equations with energy damping effects	3
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	3
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
Three results on the energy conservation for the 3D Euler equations	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
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	3
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations	3
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Removable singularities in the boundary for quasilinear elliptic equations	3
Elastic flow of curves with partial free boundary	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
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	3
Normalized solutions to a Choquard equation involving mixed local and nonlocal operators	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	2
Fast reactions and slow manifolds	2
A symmetry result for fully nonlinear problems in exterior domains	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction	2
On the strong local optimality for state-constrained control-affine problems	2
Life-span of solutions for a nonlinear parabolic system	2
The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping	2
Supercritical Lane–Emden equation on a cone with an inhomogeneous Dirichlet boundary condition	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
On the generalised Brézis–Nirenberg problem	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	2
NLS ground states on the half-line with point interactions	2
Age-structured SIS-B epidemic model with limited environmental cleaning capacity	2
On the cubic-quintic Schrödinger equation	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
Pohozaev identity for Finsler anisotropic problems	2
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2
Boundary regularity of stationary critical points for a Cosserat energy functional	2
Stability for the $$2\frac{1}{2}$$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow	2
The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
A convection–diffusion model on a star-shaped graph	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	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
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Function spaces on uniformly regular and singular Riemannian manifolds	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Multi-population phase oscillator networks with higher-order interactions	2
Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities	2
Sommerfeld Radiation Condition for Helmholtz equations with long-range potentials	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
On the minimisation of the peak–to–average ratio	2
Noise-induced periodicity in a frustrated network of interacting diffusions	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
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
Infinitely many solutions for a boundary Yamabe problem	2
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
Convergence of maximal monotone operators in a Hilbert space	1
Regularity and uniqueness for a model of active particles with angle-averaged diffusions	1
Unconditional deep-water limit of the intermediate long wave equation in low-regularity	1
Singular anisotropic elliptic equations with gradient-dependent lower order terms	1
On the structural properties of the bounded control set of a linear control system	1
A dynamic programming approach for controlled fractional SIS models	1
Weak and strong solutions to nonlinear SPDEs with unbounded noise	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
Correction to: Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	1
Long-time behavior of solutions to the generalized Allen–Cahn model with degenerate diffusivity	1
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	1
Nonexistence results for elliptic problems with supercritical growth in thin planar domains	1
Invariant cones for jump-diffusions in infinite dimensions	1
Energy dissipation admissibility condition for conservation law systems admitting singular solutions	1
Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	1
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	1
The Cheeger cut and Cheeger problem in metric measure spaces	1
A Relation of the Allen–Cahn equations and the Euler equations and applications of the equipartition	1
Stackelberg exact controllability for the Boussinesq system	1
Global boundedness of the weak solutions to componentwise coercive parabolic systems	1
Parabolic logistic equation with harvesting involving the fractional Laplacian	1
On parabolic equations in Morrey spaces with VMO a and Morrey b,c	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
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons	1
Boundary estimates for doubly nonlinear parabolic equations	1
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	1

Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	1
Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	1
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	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
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	1
Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces	1
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	1
Velocity diagram of traveling waves for discrete reaction–diffusion equations	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
Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks	1
Convergence problem of the generalized Kadomtsev–Petviashvili II equation in anisotropic Sobolev space	1
Singular solutions for space-time fractional equations in a bounded domain	1
Existence of solutions for a slightly subcritical fractional Choquard problem	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
Liouville theorems for Hénon type elliptic equation with mixed boundary conditions and finite Morse index	1
A singular problem with nonlinearities of exponential growth	1
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	1
On uniqueness and stability for the Boltzmann–Enskog equation	1
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	1
Lipschitz potential estimates for diffusion with jumps	1
Convergence of finite difference schemes for lower semicontinuous viscosity solutions and applications to discrete random processes	1
Supercritical problems via a fixed point argument on the cone of monotonic functions	1
The Cauchy problem for doubly degenerate parabolic equations with weights	1
On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus	1
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	1
Lower bounds on mixing norms for the advection diffusion equation in $$\mathbb {R}^d$$	1
Homogenization of Hamilton-Jacobi equations with defects leading to stratified problems	1
Sharp and quantitative estimates for the p-Torsion of convex sets	1
The Douglas formula in $$L^p$$	1
Optimal decay rates for the 3D chemotaxis-Navier-Stokes equations in critical Besov spaces	1
Impact of mixed boundary conditions on stochastic equations with noise at the boundary	1
Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold	1
Stability and instability of radial standing waves to NLKG equation with an inverse-square potential	0
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	0
Parabolic equations and SDEs with time-inhomogeneous Morrey drift	0
Stationary fronts and pulses for multistable equations with saturating diffusion	0
Simple Lyapunov spectrum for linear homogeneous differential equations with $$L^p$$ parameters	0
Domain characterization for Schrödinger operators with sub-quadratic singularity	0
Optimal control of epidemics by alternating vaccination strategies	0
New critical point theorem and infinitely many normalized small-magnitude solutions of mass supercritical Schrödinger equations	0
The tangent cone, the dimension and the frontier of the medial axis	0
Optimal control of a class of third-grade-Voigt equations	0
Multiplicity results for elliptic problems with critical exponential growth	0
A new space of generalised functions with bounded variation motivated by fracture mechanics	0
A convergence theorem for Crandall–Lions viscosity solutions to path-dependent Hamilton–Jacobi–Bellman PDEs	0
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	0
Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces and their applications	0
Hybrid control for optimal visiting problems for a single player and for a crowd	0
Boundary controllability for a coupled system of parabolic equations with singular potentials	0
Non-radial solutions for higher order Hénon-type equation with critical exponent	0
Ground states for coupled NLS equations with double power nonlinearities	0
On the double weighted critical quasilinear Hénon problems	0
On the long-wave approximation of solitary waves in cylindrical coordinates	0
Feynman–Kac formula for BSDEs with jumps and time delayed generators associated to path-dependent nonlinear Kolmogorov equations	0
Normalized ground states for a coupled Schrödinger system: mass super-critical case	0
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	0
On the zero-noise limit for SDE’s singular at the initial time	0
Mass-energy scattering criterion for double power Schrödinger equations	0
Hardy spaces associated to generalized Hardy operators and applications	0
A new critical curve for systems of evolution equations with semilinear coupling	0
Semilinear Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities	0
A family of nonlocal degenerate operators: maximum principles and related properties	0
Interpolation results for convergence of implicit Euler schemes with accretive operators	0
Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise	0
On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation	0
Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel	0
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	0
Carleman estimates for Mindlin-Timoshenko system with discontinuous coefficients and applications	0
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	0
A sharp Hardy–Sobolev inequality with boundary term and applications	0
Global boundedness and asymptotic stability of the Keller-Segel system with growth source in the whole space	0
Remarks on KS models describing cell aggregation with obstacle interference	0
Notes on the uniqueness of Type II Yamabe metrics	0
Existence of similarity profiles for diffusion equations and systems	0
Control results for a model of resonant interaction between short and long capillary-gravity waves	0
Nirenberg problem on high dimensional spheres: blow up with residual mass phenomenon	0
Insensitizing control problem for the Kawahara equation	0
Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion	0
Energy decay for wave equations with a potential and a localized damping	0
Global well-posedness for eddy-mean vorticity equations on $$\mathbb {T}^2$$	0
Asymptotic behavior analysis for non-autonomous quasi-geostrophic equations in $$\mathbb {R}^2$$	0
The Brezis–Nirenberg problem for systems involving divergence-form operators	0
Bi-Kolmogorov type operators and weighted Rellich’s inequalities	0
On optimal controls in coefficients for ill-posed elliptic Neumann boundary value problem with anisotropic p-Laplace operator	0
Two results related to elliptic and parabolic equations. Case of Morrey spaces	0
Semilinear $$\sigma $$-evolution models with friction and visco-elastic type damping	0
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	0
Invariant hyperplanes for 2D Navier–Stokes equations perturbed by nonlocal terms	0
The bounded slope condition for parabolic equations with time-dependent integrands	0
Regularity for minimizers of scalar integral functionals with (p, q)-growth conditions	0
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	0