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	14
Hardy potential in existence and optimal summability in nonlinear elliptic equations	13
Decay estimates for the structural damped wave equations on Heisenberg groups	12
Correction to: Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	11
Relaxation for degenerate nonlinear functionals in the one-dimensional case	11
q-Laplace equation involving the gradient on general bounded and exterior domains	10
Global solutions to the Navier-Stokes equations with random diffusion	9
Asymptotic Issues for Fractional Laplacian on Long Cylinders	9
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
General stability estimates in nonlocal traffic models for several populations	8
On the one-dimensional Pompeiu problem	7
Liouville-type theorems for fractional Hardy–Hénon systems	7
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	7
Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem	6
Dual variational methods for time-harmonic nonlinear Maxwell’s equations	6
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	6
Global stability of three trophic levels predator–prey model with alarm-taxis	6
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	6
Maximum principles for elliptic operators in unbounded Riemannian domains	6
A note on averaging for the dispersion-managed NLS	6
Nonlinear dynamic problems for 2D magnetoelastic waves	6
Viscosity solutions to nonlocal generalized p-Laplacian: existence, uniqueness, and regularity	6

Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	5
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	5
Classical and generalized solutions of an alarm-taxis model	5
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	5
Generalized semi-local Klein–Gordon–Maxwell equations	5
Stability of translating states for self-propelled swarms	5
Attractors for a class of wave equations with nonlocal structural energy damping	5
On the least-energy solutions of the pure Neumann Lane–Emden equation	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
Non-compact perturbations of coercive functionals and applications	5
A new space of generalised vector-valued functions of bounded variation	5
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	5
Fractional Parabolic Theory as a High-Dimensional Limit of Fractional Elliptic Theory	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
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	5
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	4
Stability of complement value problems for p-Lévy operators	4
Existence and uniqueness results for a class of nonlinear transmission problem with $$L^1$$ data	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
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	4
Gradient estimates for double phase problems with two modulating coefficients	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
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	4
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation	4
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	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	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
On backward Euler approximations for systems of conservation laws	3
Elastic flow of curves with partial free boundary	3
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
On a local solvability of the contact Muskat problem	3
Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term	3
Optimal control for the conformal CR sub-Laplacian obstacle problem	3
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	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
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
Removable singularities in the boundary for quasilinear elliptic equations	3
Unique ergodicity in stochastic electroconvection	3
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	3
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	3
Existence in the nonlinear Schrödinger equation with bounded magnetic field	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations	3

Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	3
On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
On the cubic-quintic Schrödinger equation	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
Normalized solutions to a Choquard equation involving mixed local and nonlocal operators	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
Nonlinear acoustic equations of fractional higher order at the singular limit	2
Stability for the $$2\frac{1}{2}$$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow	2
Function spaces on uniformly regular and singular Riemannian manifolds	2
Full boundary regularity for minimizers of a Cosserat energy functional	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Interplay of flux limitation and nonlinear production in a two-dimensional Keller-Segel-Stokes system	2
Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities	2
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	2
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	2
A new decomposition method approach for strong and exponential stabilization of semilinear systems in banach spaces	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Pohozaev identity for Finsler anisotropic problems	2
On the generalised Brézis–Nirenberg problem	2
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction	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
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
On the strong local optimality for state-constrained control-affine problems	2
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
On a doubly sublinear fractional p-Laplacian equation	2
Blow up solutions of an asymptotically critical problem involving fractional Laplacian in compact Riemannian manifold	2
Partial regularity of minimizers for double phase functionals with variable exponents	2
Sommerfeld Radiation Condition for Helmholtz equations with long-range potentials	2
Approximation of the Solutions to Quasilinear Parabolic Problems with Perturbed $$VMO_x$$ Coefficients	2
Age-structured SIS-B epidemic model with limited environmental cleaning capacity	2
On the minimisation of the peak–to–average ratio	2
Classification of solutions to mixed order system with exponential Hartree nonlinearity and cubic nonlinearity in $$\mathbb {R}^{3}$$	2
A convection–diffusion model on a star-shaped graph	2
On the continuum limit for a model of binary waveguide arrays	2
The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2
Regularly varying solutions of subhomogeneous differential equations with p(t)-Laplacian	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Infinitely many solutions for a boundary Yamabe problem	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
Multi-population phase oscillator networks with higher-order interactions	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
NLS ground states on the half-line with point interactions	2
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2
Fast reactions and slow manifolds	2
Convergence of asymptotic systems in Cohen–Grossberg neural network models with unbounded delays	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
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Life-span of solutions for a nonlinear parabolic system	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Supercritical Lane–Emden equation on a cone with an inhomogeneous Dirichlet boundary condition	2
On parabolic equations in Morrey spaces with VMO a and Morrey b,c	1
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	1
Convergence problem of the generalized Kadomtsev–Petviashvili II equation in anisotropic Sobolev space	1
Supercritical problems via a fixed point argument on the cone of monotonic functions	1
Variational description of uniform Lyapunov exponents via adapted metrics on exterior products	1
Invariant cones for jump-diffusions in infinite dimensions	1
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	1
Global boundedness of the weak solutions to componentwise coercive parabolic systems	1
Optimal decay rates for the 3D chemotaxis-Navier-Stokes equations in critical Besov spaces	1
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons	1
Convergence of finite difference schemes for lower semicontinuous viscosity solutions and applications to discrete random processes	1
Boundary regularity of stationary critical points for a Cosserat energy functional	1
Lipschitz potential estimates for diffusion with jumps	1
Long-time behavior of solutions to the generalized Allen–Cahn model with degenerate diffusivity	1
Local wellposedness of Maxwell systems with retarded material laws in low regularity	1
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	1
Optimal $$L^2$$-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity	1
The Cauchy problem for doubly degenerate parabolic equations with weights	1
The Cheeger cut and Cheeger problem in metric measure spaces	1

Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	1
Purely interior Hessian estimates for a kind of Monge-Ampère equations	1
Regularity and uniqueness for a model of active particles with angle-averaged diffusions	1
A dynamic programming approach for controlled fractional SIS models	1
Singular solutions for space-time fractional equations in a bounded domain	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
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	1
Convergence of maximal monotone operators in a Hilbert space	1
Sharp and quantitative estimates for the p-Torsion of convex sets	1
Bifurcations from a normally degenerate cycle in forced planar differential equations	1
Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	1
On uniqueness and stability for the Boltzmann–Enskog equation	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 Douglas formula in $$L^p$$	1
Velocity diagram of traveling waves for discrete reaction–diffusion equations	1
Singular anisotropic elliptic equations with gradient-dependent lower order terms	1
Boundary estimates for doubly nonlinear parabolic equations	1
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	1
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	1
Stackelberg exact controllability for the Boussinesq system	1
Global regularity of 2D generalized incompressible magnetohydrodynamic equations	1
Unconditional deep-water limit of the intermediate long wave equation in low-regularity	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
On the structural properties of the bounded control set of a linear control system	1
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	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
Impact of mixed boundary conditions on stochastic equations with noise at the boundary	1
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	1
Liouville theorems for Hénon type elliptic equation with mixed boundary conditions and finite Morse index	1
Homogenization of Hamilton-Jacobi equations with defects leading to stratified problems	1
A Relation of the Allen–Cahn equations and the Euler equations and applications of the equipartition	1
Nonexistence results for elliptic problems with supercritical growth in thin planar domains	1
Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	1
Existence and non-existence results for cooperative elliptic systems without variational structure	1
Correction to: Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	1
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth	1
Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces	1
Weak and strong solutions to nonlinear SPDEs with unbounded noise	1
Energy dissipation admissibility condition for conservation law systems admitting singular solutions	1
Observability and attractors of nonlinear Von Kármán beams	1
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	1
Lower bounds on mixing norms for the advection diffusion equation in $$\mathbb {R}^d$$	1
Regularity of the value function and quantitative propagation of chaos for mean field control problems	1
Existence of solutions for a slightly subcritical fractional Choquard problem	1
A singular problem with nonlinearities of exponential growth	1
Remarks on KS models describing cell aggregation with obstacle interference	0
Interpolation results for convergence of implicit Euler schemes with accretive operators	0
Two results related to elliptic and parabolic equations. Case of Morrey spaces	0
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	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
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	0
Asymptotic behavior analysis for non-autonomous quasi-geostrophic equations in $$\mathbb {R}^2$$	0
A global existence result for a class of double-phase eigenvalue problems with non-standard growth	0
Interaction of geophysical flows with sea ice dynamics	0
Bi-Kolmogorov type operators and weighted Rellich’s inequalities	0
Simple Lyapunov spectrum for linear homogeneous differential equations with $$L^p$$ parameters	0
Control results for a model of resonant interaction between short and long capillary-gravity waves	0
Optimal control of epidemics by alternating vaccination strategies	0
Global boundedness and asymptotic stability of the Keller-Segel system with growth source in the whole space	0
On a characterization of the Rellich–Kondrachov theorem on groups and the Bloch spectral cell equation	0
Existence of similarity profiles for diffusion equations and systems	0
Semilinear Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities	0
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	0
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	0
Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel	0
Insensitizing control problem for the Kawahara equation	0
Stability and instability of radial standing waves to NLKG equation with an inverse-square potential	0
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	0
Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion	0
Domain characterization for Schrödinger operators with sub-quadratic singularity	0
Parabolic equations and SDEs with time-inhomogeneous Morrey drift	0
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	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
The Brezis–Nirenberg problem for systems involving divergence-form operators	0
Optimal control of a class of third-grade-Voigt equations	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
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
SPLASH SINGULARITIES FOR THE VISCOUS 2D BOUSSINESQ EQUATIONS WITH ZERO THERMAL DIFFUSIVITY	0
On optimal controls in coefficients for ill-posed elliptic Neumann boundary value problem with anisotropic p-Laplace operator	0
Feynman–Kac formula for BSDEs with jumps and time delayed generators associated to path-dependent nonlinear Kolmogorov equations	0
Refined existence theorems for doubly degenerate chemotaxis–consumption systems with large initial data	0
Stationary fronts and pulses for multistable equations with saturating diffusion	0
Nirenberg problem on high dimensional spheres: blow up with residual mass phenomenon	0
Notes on the uniqueness of Type II Yamabe metrics	0
Normalized ground states for a coupled Schrödinger system: mass super-critical case	0
On the double weighted critical quasilinear Hénon problems	0
Energy decay for wave equations with a potential and a localized damping	0