Nodea-Nonlinear Differential Equations and Applications

Article	Citations
Approaching optimality in blow-up results for Keller–Segel systems with logistic-type dampening	23
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms	15
On the stochastic Dullin–Gottwald–Holm equation: global existence and wave-breaking phenomena	10
The initial-boundary value problem for the Kawahara equation on the half-line	10
Regularity results for a class of nonlinear fractional Laplacian and singular problems	10
An example of multiple mean field limits in ergodic differential games	9
Synchronization of stochastic lattice equations	9
Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise	8
Multi-population phase oscillator networks with higher-order interactions	8
Deterministic mean field games with control on the acceleration	8
Existence and regularity results for viscous Hamilton–Jacobi equations with Caputo time-fractional derivative	7
Coupling linearity and twist: an extension of the Poincaré–Birkhoff theorem for Hamiltonian systems	7
Normalized solutions of mass subcritical Schrödinger equations in exterior domains	7
Weak solutions for potential mean field games of controls	7
Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations	7
Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities	7
Calderon–Zygmund–Stampacchia theory for infinite energy solutions of nonlinear elliptic equations with singular drift	7
Some estimates for the planning problem with potential	6
Blowup and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation	6
Critical parameters for reaction–diffusion equations involving space–time fractional derivatives	5
Bi-Kolmogorov type operators and weighted Rellich’s inequalities	5
Vanishing viscosity limit for the compressible Navier–Stokes system via measure-valued solutions	5
Nonlocal elastodynamics and fracture	5
A nonlinear Bismut–Elworthy formula for HJB equations with quadratic Hamiltonian in Banach spaces	5
Fractional $$({\varvec{s}},{\varvec{p}})$$-Robin–Venttsel’ problems on extension domains	5

Asymptotic stability of kink with internal modes under odd perturbation	4
Relaxation of the Boussinesq system and applications to the Rayleigh–Taylor instability	4
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	4
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	4
Non-local approximation of the Griffith functional	4
Modified scattering for a dispersion-managed nonlinear Schrödinger equation	4
A mean value formula for the variational p-Laplacian	4
Stabilizability in optimal control	4
Optimal regularity for all time for entropy solutions of conservation laws in $$BV^s$$	4
On global existence and blowup of solutions of Stochastic Keller–Segel type equation	4
Scattering threshold for the focusing coupled Schrödinger system revisited	4
Stability estimate for a semilinear elliptic inverse problem	4
On the behavior in time of solutions to motion of Non-Newtonian fluids	4
The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds	3
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth	3
Pohozaev-type identities for differential operators driven by homogeneous vector fields	3
Lower bound on the radius of analyticity of solution for fifth order KdV–BBM equation	3
Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains	3
Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	3
Fokker–Planck equations with terminal condition and related McKean probabilistic representation	3
Liouville theorem of the 3D stationary MHD system: for D-solutions converging to non-zero constant vectors	3
On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping	3
Hardy spaces associated to generalized Hardy operators and applications	3
Nonlinear evolution problems with singular coefficients in the lower order terms	3
Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass	3
Lattice approximations of the first-order mean field type differential games	3
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons	3
On a class of stochastic partial differential equations with multiple invariant measures	3
A dynamic model for viscoelasticity in domains with time-dependent cracks	3
Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas	3
The planar least gradient problem in convex domains: the discontinuous case	3
The influence of data regularity in the critical exponent for a class of semilinear evolution equations	3
Vanishing diffusion in a dynamic boundary condition for the Cahn–Hilliard equation	3
Mean field games with monotonous interactions through the law of states and controls of the agents	3
Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	3
Nonlinear problems with unbounded coefficients and $$L^1$$ data	3
Micro-inertia effects on existence of attractors for Form II Mindlin’s strain gradient viscoelastic plate	2
Existence of a ground state and blowup problem for a class of nonlinear Schrödinger equations involving mass and energy critical exponents	2
The global existence of small self-interacting scalar field propagating in the contracting universe	2
Stable and finite Morse index solutions of a nonlinear Schrödinger system	2
Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency	2
Monostable pulled fronts and logarithmic drifts	2
Two-phase Stokes flow by capillarity in the plane: The case of different viscosities	2
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	2
Doubling the equatorial for the prescribed scalar curvature problem on $${{\mathbb {S}}}^N$$	2
Variational p-harmonious functions: existence and convergence to p-harmonic functions	2
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	2
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	2
A sharp Hardy–Sobolev inequality with boundary term and applications	2
Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in $${\mathbb {R}}^n$$	2

An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions	2
On the least-energy solutions of the pure Neumann Lane–Emden equation	2
A convection–diffusion model on a star-shaped graph	2
Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems	2
Optimal control for stochastic Volterra equations with multiplicative Lévy noise	2
Fixed analytic radius lower bound for the dissipative KdV equation on the real line	2
Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case	2
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions	2
A singular problem with nonlinearities of exponential growth	2
A construction of patterns with many critical points on topological tori	2
Harnack inequalities with power $$\pmb {p\in (1,+\infty )}$$ for transition semigroups in Hilbert spaces	2
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	2
Lower bounds on mixing norms for the advection diffusion equation in $$\mathbb {R}^d$$	2
Multiple solutions of higher topological type for semiclassical nonlinear Schrödinger equations	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Publisher Correction to: On the stochastic Dullin–Gottwald–Holm equation: global existence and wave-breaking phenomena	2
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	2
Periodic solutions of weakly coupled superlinear systems with indefinite terms	2
Ground state solutions for quasilinear scalar field equations arising in nonlinear optics	2
Hybrid control for optimal visiting problems for a single player and for a crowd	2
Quasilinear elliptic equations with sub-natural growth terms in bounded domains	2
On the regularity of very weak solutions for linear elliptic equations in divergence form	2
The direct and inverse scattering problem for the semilinear Schrödinger equation	2
On a class of elliptic free boundary problems with multiple solutions	2
Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient	1
Random attractors for stochastic partly dissipative systems	1
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	1
Anisotropic 1-Laplacian problems with unbounded weights	1
Second order local minimal-time mean field games	1
Regularity of the value function and quantitative propagation of chaos for mean field control problems	1
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	1
Scattering for the quadratic Klein–Gordon equations	1
On the global well-posedness of the quadratic NLS on $$H^1({{\mathbb {T}}}) + L^2({{\mathbb {R}}})$$	1
On solutions for fractional $$\pmb {N/s}$$-Laplacian equations involving exponential growth	1
On the comparison principle for second order elliptic equations without first and zeroth order terms	1
Ordering properties of radial ground states and singular ground states of quasilinear elliptic equations	1
On uniqueness and stability for the Boltzmann–Enskog equation	1
On stable and finite Morse index solutions to quasilinear Schrödinger equations	1
A reverse Hölder inequality for the gradient of solutions to Trudinger’s equation	1
Dissipation enhancement by transport noise for stochastic p-Laplace equations	1
Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller–Rubinow model	1
Sign-changing solutions for elliptic problem involving the sixth order GJMS operator on compact manifold	1
Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces	1
Supercritical problems via a fixed point argument on the cone of monotonic functions	1
Concave power solutions of the dominative p-Laplace equation	1
Limit theorems of SDEs driven by Lévy processes and application to nonlinear filtering problems	1
Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes	1
Geometric regularity theory for a time-dependent Isaacs equation	1
Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel	1
The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations	1
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	1
Multiplicity of solutions for an elliptic equation with exponential growth	1
Quasi-static limit for a hyperbolic conservation law	1
Existence and orbital stability of standing waves to a nonlinear Schrödinger equation with inverse square potential on the half-line	1
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	1
Viscous scalar conservation law with stochastic forcing: strong solution and invariant measure	1
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	1
Stochastic degenerate fractional conservation laws	1
Stationary fronts and pulses for multistable equations with saturating diffusion	1
Non-radial scattering theory for nonlinear Schrödinger equations with potential	1
Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow	1
The Douglas formula in $$L^p$$	1
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	1
Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media	1
Pohozaev identity for Finsler anisotropic problems	1
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	1
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	1
On uniqueness and structure of renormalized solutions to integro-differential equations with general measure data	1
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	1
Global boundedness of the immune chemotaxis system with general kinetic functions	1
Semilinear $$\sigma $$-evolution models with friction and visco-elastic type damping	1
Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents	1
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	1
Space-time Gevrey smoothing effect for the dissipative nonlinear Schrödinger equations	1
Uniqueness and regularity of unbounded weak solutions to a class of cross diffusion systems	1
NLS ground states on the half-line with point interactions	1
Optimal $$L^2$$-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity	1
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	1
Ill-posedness of the Maxwell–Dirac system below charge in space dimension three and lower	1
Existence analysis of a degenerate diffusion system for heat-conducting gases	1

Strong backward uniqueness for sublinear parabolic equations	1
A continuously perturbed Dirichlet energy with area-preserving stationary points that ‘buckle’ and occur in equal-energy pairs	1
Small perturbations for a Duffing-like evolution equation involving non-commuting operators	1
Evolutionary stable strategies and cubic vector fields	1
Velocity diagram of traveling waves for discrete reaction–diffusion equations	1