Nodea-Nonlinear Differential Equations and Applications

Article	Citations
Approaching optimality in blow-up results for Keller–Segel systems with logistic-type dampening	27
Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise	16
Normalized solutions of mass subcritical Schrödinger equations in exterior domains	12
Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities	11
On the stochastic Dullin–Gottwald–Holm equation: global existence and wave-breaking phenomena	11
Regularity results for a class of nonlinear fractional Laplacian and singular problems	10
Multi-population phase oscillator networks with higher-order interactions	10
Lower bound on the radius of analyticity of solution for fifth order KdV–BBM equation	8
Weak solutions for potential mean field games of controls	8
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	7
Some estimates for the planning problem with potential	7
Blowup and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation	7
On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping	6
Asymptotic stability of kink with internal modes under odd perturbation	6
A mean value formula for the variational p-Laplacian	5
Scattering threshold for the focusing coupled Schrödinger system revisited	5
Bi-Kolmogorov type operators and weighted Rellich’s inequalities	5
Behavior in time of solutions of a Keller–Segel system with flux limitation and source term	5
Relaxation of the Boussinesq system and applications to the Rayleigh–Taylor instability	5
Nonlocal elastodynamics and fracture	5
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	5
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	5
On global existence and blowup of solutions of Stochastic Keller–Segel type equation	5
Modified scattering for a dispersion-managed nonlinear Schrödinger equation	5
Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	5

Nonlinear evolution problems with singular coefficients in the lower order terms	5
Fractional $$({\varvec{s}},{\varvec{p}})$$-Robin–Venttsel’ problems on extension domains	4
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions	4
Regularity of the value function and quantitative propagation of chaos for mean field control problems	4
Hardy spaces associated to generalized Hardy operators and applications	4
Quasi-static limit for a hyperbolic conservation law	4
Non-local approximation of the Griffith functional	4
Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
Doubling the equatorial for the prescribed scalar curvature problem on $${{\mathbb {S}}}^N$$	4
A dynamic model for viscoelasticity in domains with time-dependent cracks	4
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	4
Stability estimate for a semilinear elliptic inverse problem	4
NLS ground states on the half-line with point interactions	4
Lattice approximations of the first-order mean field type differential games	4
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons	4
On a class of stochastic partial differential equations with multiple invariant measures	4
Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel	4
The planar least gradient problem in convex domains: the discontinuous case	4
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	4
Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains	4
Fixed analytic radius lower bound for the dissipative KdV equation on the real line	4
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	3
Fokker–Planck equations with terminal condition and related McKean probabilistic representation	3
On a class of elliptic free boundary problems with multiple solutions	3
Global boundedness of the immune chemotaxis system with general kinetic functions	3
Pohozaev-type identities for differential operators driven by homogeneous vector fields	3
Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass	3
Variational p-harmonious functions: existence and convergence to p-harmonic functions	3
Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems	3
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Liouville theorem of the 3D stationary MHD system: for D-solutions converging to non-zero constant vectors	3
On the least-energy solutions of the pure Neumann Lane–Emden equation	3
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth	3
Nonlinear variational inequalities with variable regular bilateral constraints in variable domains	3
Mean field games with monotonous interactions through the law of states and controls of the agents	3
Two-phase Stokes flow by capillarity in the plane: The case of different viscosities	3
Harnack inequalities with power $$\pmb {p\in (1,+\infty )}$$ for transition semigroups in Hilbert spaces	3
Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas	3
Non-radial scattering theory for nonlinear Schrödinger equations with potential	3
Pohozaev identity for Finsler anisotropic problems	3
Periodic solutions of weakly coupled superlinear systems with indefinite terms	3
Limit theorems of SDEs driven by Lévy processes and application to nonlinear filtering problems	2
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	2
Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency	2
Monostable pulled fronts and logarithmic drifts	2
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	2
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	2
Stationary fronts and pulses for multistable equations with saturating diffusion	2
On the comparison principle for second order elliptic equations without first and zeroth order terms	2
Asymptotic mean value properties for the elliptic and parabolic double phase equations	2

Multiple solutions of higher topological type for semiclassical nonlinear Schrödinger equations	2
Quasilinear elliptic equations with sub-natural growth terms in bounded domains	2
Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient	2
A sharp Hardy–Sobolev inequality with boundary term and applications	2
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	2
A dynamic programming approach for controlled fractional SIS models	2
A singular problem with nonlinearities of exponential growth	2
Multiplicity results for generalized quasilinear critical Schrödinger equations in $${\mathbb {R}}^N$$	2
Three results on the energy conservation for the 3D Euler equations	2
Semilinear $$\sigma $$-evolution models with friction and visco-elastic type damping	2
Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow	2
A reverse Hölder inequality for the gradient of solutions to Trudinger’s equation	2
Ground state solutions for quasilinear scalar field equations arising in nonlinear optics	2
Lower bounds on mixing norms for the advection diffusion equation in $$\mathbb {R}^d$$	2
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	2
Publisher Correction to: On the stochastic Dullin–Gottwald–Holm equation: global existence and wave-breaking phenomena	2
Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Hybrid control for optimal visiting problems for a single player and for a crowd	2
Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case	2
Micro-inertia effects on existence of attractors for Form II Mindlin’s strain gradient viscoelastic plate	2
On stable and finite Morse index solutions to quasilinear Schrödinger equations	2
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	2
Dissipation enhancement by transport noise for stochastic p-Laplace equations	2
An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions	2
Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media	2
Stable and finite Morse index solutions of a nonlinear Schrödinger system	2
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	2
On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus	1
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	1
Evolutionary stable strategies and cubic vector fields	1
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	1
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	1
Gradient higher integrability for singular parabolic double-phase systems	1
Asymptotic behavior of positive solutions for quasilinear elliptic equations	1
Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise	1
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	1
On solutions for fractional $$\pmb {N/s}$$-Laplacian equations involving exponential growth	1
On weak (measure valued)–strong uniqueness for Navier–Stokes–Fourier system with Dirichlet boundary condition	1
q-Laplace equation involving the gradient on general bounded and exterior domains	1
On the global well-posedness of the quadratic NLS on $$H^1({{\mathbb {T}}}) + L^2({{\mathbb {R}}})$$	1
Renormalized solutions for convection-diffusion problems involving a nonlocal operator	1
Energy decay for wave equations with a potential and a localized damping	1
Existence and non-existence results for a semilinear fractional Neumann problem	1
The Douglas formula in $$L^p$$	1
Existence and orbital stability of standing waves to a nonlinear Schrödinger equation with inverse square potential on the half-line	1
Existence analysis of a degenerate diffusion system for heat-conducting gases	1
Supercritical problems via a fixed point argument on the cone of monotonic functions	1
Convergence problem of the generalized Kadomtsev–Petviashvili II equation in anisotropic Sobolev space	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
Geometric regularity theory for a time-dependent Isaacs equation	1
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	1
A global method for relaxation for multi-levelled structured deformations	1
Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes	1
The tangent cone, the dimension and the frontier of the medial axis	1
Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents	1
On the structural properties of the bounded control set of a linear control system	1
Second order local minimal-time mean field games	1
Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion	1
The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations	1
Singular anisotropic elliptic equations with gradient-dependent lower order terms	1
Double layered solutions to the extended Fisher–Kolmogorov P.D.E.	1
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	1
Ill-posedness of the Maxwell–Dirac system below charge in space dimension three and lower	1
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	1
Optimal $$L^2$$-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity	1
Uniqueness and regularity of unbounded weak solutions to a class of cross diffusion systems	1
Well-posedness of the Cosserat–Bingham fluid equations	1
Nonlinear acoustic equations of fractional higher order at the singular limit	1
On a planar Hartree–Fock type system	1
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	1
Velocity diagram of traveling waves for discrete reaction–diffusion equations	1
Small perturbations for a Duffing-like evolution equation involving non-commuting operators	1
A continuously perturbed Dirichlet energy with area-preserving stationary points that ‘buckle’ and occur in equal-energy pairs	1
Anisotropic 1-Laplacian problems with unbounded weights	1
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	1
Multiplicity of solutions for an elliptic equation with exponential growth	1
A new space of generalised functions with bounded variation motivated by fracture mechanics	1
Stochastic degenerate fractional conservation laws	1

Phase transitions in porous media	1
Boundary value problems associated with Hamiltonian systems coupled with positively-(p, q)-homogeneous systems	1
Prescribing the $${\overline{Q}}^{\prime }$$-curvature on pseudo-Einstein CR 3-manifolds	1
Scalar conservation law in a bounded domain with strong source at boundary	1
On uniqueness and stability for the Boltzmann–Enskog equation	1
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	1
Energy dissipation admissibility condition for conservation law systems admitting singular solutions	1
Bifurcation of nodal solutions for the Moore–Nehari differential equation	1
Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller–Rubinow model	1
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	1
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	1
Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature	0
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	0
Global attractor for 3D Dirac equation with nonlinear point interaction	0
Long-time behavior of solutions to the generalized Allen–Cahn model with degenerate diffusivity	0
Properties of set-valued Young integrals and Young differential inclusions generated by sets of Hölder functions	0
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	0
Fast rotation and inviscid limits for the SQG equation with general ill-prepared initial data	0
Partial regularity of minimizers for double phase functionals with variable exponents	0
Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage	0
The first GJMS invariant	0
Comparison Principle for Hamilton-Jacobi-Bellman Equations via a Bootstrapping Procedure	0
A system of superlinear elliptic equations in a cylinder	0
Classification of Ground-states of a coupled Schrödinger system	0
Saddle solutions for the planar Schrödinger–Poisson system with exponential growth	0
Existence and non-existence results for cooperative elliptic systems without variational structure	0
Sign-changing solution for an elliptic equation with critical growth at the boundary	0
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	0
A convection–diffusion model on a star-shaped graph	0
Sharp and quantitative estimates for the p-Torsion of convex sets	0
Multiplicity results for elliptic problems with critical exponential growth	0
Removable singularities in the boundary for quasilinear elliptic equations	0
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	0
A supercritical estimate for Bessel potentials on Lorentz spaces	0
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	0
Non-radial solutions for higher order Hénon-type equation with critical exponent	0
Partial regularity of solutions of nonlinear quasimonotone systems via a lower $$L^{p}$$ estimate	0
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	0
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	0
Sobolev gradients of viscosity supersolutions	0
Noise-induced periodicity in a frustrated network of interacting diffusions	0
Liouville-type theorems for fractional Hardy–Hénon systems	0
Partial integrodifferential equations with critical nonlinearities	0
Wigner analysis of fourier integral operators with symbols in the Shubin classes	0
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	0
Simple Lyapunov spectrum for linear homogeneous differential equations with $$L^p$$ parameters	0
The role of absorption terms in Dirichlet problems for the prescribed mean curvature equation	0
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	0
Gradient formula for transition semigroup corresponding to stochastic equation driven by a system of independent Lévy processes	0
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	0
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	0
On the strong local optimality for state-constrained control-affine problems	0
On the motion of rigid bodies in a perfect fluid	0
A note on the Morse homology for a class of functionals in Banach spaces involving the 2p-area functional	0
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	0
Harmonic embeddings of the Stretched Sierpinski Gasket	0
New critical point theorem and infinitely many normalized small-magnitude solutions of mass supercritical Schrödinger equations	0
Three remarks on the convergence of some discretized second order gradient-like systems	0
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	0
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	0
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	0
The Brezis–Nirenberg problem for systems involving divergence-form operators	0
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	0
On backward Euler approximations for systems of conservation laws	0
Invariant cones for jump-diffusions in infinite dimensions	0
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	0
On a characterization of the Rellich–Kondrachov theorem on groups and the Bloch spectral cell equation	0
Solutions of a quasilinear Schrödinger–Poisson system with linearly bounded nonlinearities	0
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	0
Non-Abelian Chern–Simons–Higgs system with indefinite functional	0
A damped elastodynamics system under the global injectivity condition: local wellposedness in $$L^p$$-spaces	0
Global existence and decay in multi-component reaction–diffusion–advection systems with different velocities: oscillations in time and frequency	0
Norm inflation for the viscous nonlinear wave equation	0
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	0
Nonlinear dynamic problems for 2D magnetoelastic waves	0
On the one-dimensional Pompeiu problem	0
Invariance of sets under mutational inclusions on metric spaces	0
Conditions of boundary layer separation for Boussinesq equations	0
The Fučík spectrum of Schrödinger operators in strongly indefinite cases	0
$$C^{1,\alpha }$$ regularity for stationary mean-field games with logarithmic coupling	0
The self-interacting Dirac fields in FLRW spacetime	0
A stochastic representation for the solution of approximated mean curvature flow	0
The convergence rate of solutions in chemotaxis models with density-suppressed motility and logistic source	0
A note on averaging for the dispersion-managed NLS	0
Interpolation results for convergence of implicit Euler schemes with accretive operators	0
Stability in inverse source problems for nonlinear reaction–diffusion systems	0
Generalized gradient flows for time-dependent energies and applications to PDEs involving variable exponents	0
Global stability of three trophic levels predator–prey model with alarm-taxis	0
Heteroclinic solutions for some classes of prescribed mean curvature equations in whole $$\mathbb {R}^2$$	0
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	0
Infinitely many solutions for a class of resonant problems	0
Correction to: Second order local minimal-time mean field games	0
The bounded slope condition for parabolic equations with time-dependent integrands	0
Semilinear elliptic problems in $$\mathbb {R}^N$$: the interplay between the potential and the nonlinear term	0
Long-time behavior for a non-autonomous Klein–Gordon–Schrödinger system with Yukawa coupling	0