Nodea-Nonlinear Differential Equations and Applications

Article	Citations
Stability in inverse source problems for nonlinear reaction–diffusion systems	22
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	14
The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations	13
Variational p-harmonious functions: existence and convergence to p-harmonic functions	13
A global method for relaxation for multi-levelled structured deformations	12
Infinitely many solutions for a class of resonant problems	8
The Brezis–Nirenberg problem for systems involving divergence-form operators	8
On backward Euler approximations for systems of conservation laws	8
Non-radial solutions for higher order Hénon-type equation with critical exponent	8
New critical point theorem and infinitely many normalized small-magnitude solutions of mass supercritical Schrödinger equations	7
q-Laplace equation involving the gradient on general bounded and exterior domains	7
NLS ground states on the half-line with point interactions	7
The convergence rate of solutions in chemotaxis models with density-suppressed motility and logistic source	7
Nonlinear variational inequalities with variable regular bilateral constraints in variable domains	7
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	6
Second order local minimal-time mean field games	6
A dynamic programming approach for controlled fractional SIS models	6
A note on the Morse homology for a class of functionals in Banach spaces involving the 2p-area functional	6
Interpolation results for convergence of implicit Euler schemes with accretive operators	6
Heteroclinic solutions for some classes of prescribed mean curvature equations in whole $$\mathbb {R}^2$$	6
Harmonic embeddings of the Stretched Sierpinski Gasket	6
Prescribing the $${\overline{Q}}^{\prime }$$-curvature on pseudo-Einstein CR 3-manifolds	5
Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains	5
On solutions for fractional $$\pmb {N/s}$$-Laplacian equations involving exponential growth	5
Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents	5

Invariance of sets under mutational inclusions on metric spaces	5
Quasi-static limit for a hyperbolic conservation law	5
A singular problem with nonlinearities of exponential growth	5
Hybrid control for optimal visiting problems for a single player and for a crowd	5
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	5
Lattice approximations of the first-order mean field type differential games	5
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	5
Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case	5
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	4
Global attractor for 3D Dirac equation with nonlinear point interaction	4
Periodic solutions of weakly coupled superlinear systems with indefinite terms	4
Sharp and quantitative estimates for the p-Torsion of convex sets	4
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	4
Mean field games with monotonous interactions through the law of states and controls of the agents	4
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	4
Monostable pulled fronts and logarithmic drifts	4
Multi-population phase oscillator networks with higher-order interactions	4
$$C^{1,\alpha }$$ regularity for stationary mean-field games with logarithmic coupling	4
Partial integrodifferential equations with critical nonlinearities	4
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	4
A new space of generalised functions with bounded variation motivated by fracture mechanics	4
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	4
Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise	4
Hardy potential in existence and optimal summability in nonlinear elliptic equations	3
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	3
Fourier Galerkin approximation of mean field control problems	3
Saddle solutions for the planar Schrödinger–Poisson system with exponential growth	3
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	3
General stability estimates in nonlocal traffic models for several populations	3
Bifurcation diagrams of semilinear elliptic equations for supercritical nonlinearities in two dimensions	3
Correction to: Stability of complement value problems for p-Lévy operators	3
Sobolev gradients of viscosity supersolutions	3
Removable singularities in the boundary for quasilinear elliptic equations	3
The bounded slope condition for parabolic equations with time-dependent integrands	3
Partial regularity of minimizers for double phase functionals with variable exponents	3
Sign-changing solution for an elliptic equation with critical growth at the boundary	3
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	3
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	3
Long-time behavior for a non-autonomous Klein–Gordon–Schrödinger system with Yukawa coupling	3
Phase transitions in porous media	3
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	3
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	3
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	3
Evolutionary stable strategies and cubic vector fields	2
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	2
Behavior in time of solutions of a Keller–Segel system with flux limitation and source term	2
Lower bound on the radius of analyticity of solution for fifth order KdV–BBM equation	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient	2
A convection–diffusion model on a star-shaped graph	2

Geometric regularity theory for a time-dependent Isaacs equation	2
Global stability of three trophic levels predator–prey model with alarm-taxis	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
Sign-changing solutions for elliptic problem involving the sixth order GJMS operator on compact manifold	2
Multiplicity results for elliptic problems with critical exponential growth	2
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	2
Solutions of a quasilinear Schrödinger–Poisson system with linearly bounded nonlinearities	2
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	2
Generalized gradient flows for time-dependent energies and applications to PDEs involving variable exponents	2
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
On some noncoercive nonlinear problems in unbounded domains	2
A stochastic representation for the solution of approximated mean curvature flow	2
Three remarks on the convergence of some discretized second order gradient-like systems	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
A damped elastodynamics system under the global injectivity condition: local wellposedness in $$L^p$$-spaces	2
Correction to: Second order local minimal-time mean field games	2
Limit theorems of SDEs driven by Lévy processes and application to nonlinear filtering problems	2
Fast rotation and inviscid limits for the SQG equation with general ill-prepared initial data	2
The Fučík spectrum of Schrödinger operators in strongly indefinite cases	2
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	2
On the motion of rigid bodies in a perfect fluid	2
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	2
Partial regularity of solutions of nonlinear quasimonotone systems via a lower $$L^{p}$$ estimate	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Boundedness criterion and global solvability for the three-species food chain model with taxis mechanisms	2
Supercritical problems via a fixed point argument on the cone of monotonic functions	2
Properties of set-valued Young integrals and Young differential inclusions generated by sets of Hölder functions	2
A note on averaging for the dispersion-managed NLS	2
Semilinear elliptic problems in $$\mathbb {R}^N$$: the interplay between the potential and the nonlinear term	1
On the least-energy solutions of the pure Neumann Lane–Emden equation	1
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	1
Non-radial scattering theory for nonlinear Schrödinger equations with potential	1
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	1
Optimal $$L^2$$-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity	1
Energy dissipation admissibility condition for conservation law systems admitting singular solutions	1
Hardy spaces associated to generalized Hardy operators and applications	1
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	1
Maximum principles for elliptic operators in unbounded Riemannian domains	1
Gradient formula for transition semigroup corresponding to stochastic equation driven by a system of independent Lévy processes	1
Normalized ground states for a coupled Schrödinger system: mass super-critical case	1
The Cheeger cut and Cheeger problem in metric measure spaces	1
Stable and finite Morse index solutions of a nonlinear Schrödinger system	1
A system of superlinear elliptic equations in a cylinder	1
Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion	1
Boundedness and asymptotic stabilization in a two-dimensional chemotaxis-Navier–Stokes system with sub-logarithmic sensitivity	1
On a characterization of the Rellich–Kondrachov theorem on groups and the Bloch spectral cell equation	1
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	1
Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature	1
Pohozaev identity for Finsler anisotropic problems	1
Long-time behavior of solutions to the generalized Allen–Cahn model with degenerate diffusivity	1
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	1
Non-Abelian Chern–Simons–Higgs system with indefinite functional	1
Norm inflation for the viscous nonlinear wave equation	1
Existence and orbital stability of standing waves to a nonlinear Schrödinger equation with inverse square potential on the half-line	1
Nonlinear evolution problems with singular coefficients in the lower order terms	1
Boundary value problems associated with Hamiltonian systems coupled with positively-(p, q)-homogeneous systems	1
Blowup and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation	1
Ill-posedness of the Maxwell–Dirac system below charge in space dimension three and lower	1
Attractors for a class of wave equations with nonlocal structural energy damping	1
Energy decay for wave equations with a potential and a localized damping	1
Simple Lyapunov spectrum for linear homogeneous differential equations with $$L^p$$ parameters	1
Weak solutions for potential mean field games of controls	1
Classical and generalized solutions of an alarm-taxis model	1
Existence and non-existence results for cooperative elliptic systems without variational structure	1
Stackelberg exact controllability for the Boussinesq system	1
Geometric rigidity on Sobolev spaces with variable exponent and applications	1
The role of absorption terms in Dirichlet problems for the prescribed mean curvature equation	1
Refined existence theorems for doubly degenerate chemotaxis–consumption systems with large initial data	1
Wigner analysis of fourier integral operators with symbols in the Shubin classes	1
Lower bounds on mixing norms for the advection diffusion equation in $$\mathbb {R}^d$$	1
On the one-dimensional Pompeiu problem	1
A reverse Hölder inequality for the gradient of solutions to Trudinger’s equation	1
Invariant cones for jump-diffusions in infinite dimensions	1
On uniqueness and stability for the Boltzmann–Enskog equation	1
An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions	1
On the comparison principle for second order elliptic equations without first and zeroth order terms	1
The Douglas formula in $$L^p$$	1
Stability estimate for a semilinear elliptic inverse problem	1
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	1

Stochastic degenerate fractional conservation laws	1
Nonlinear dynamic problems for 2D magnetoelastic waves	1
Noise-induced periodicity in a frustrated network of interacting diffusions	1
On weak (measure valued)–strong uniqueness for Navier–Stokes–Fourier system with Dirichlet boundary condition	1
The self-interacting Dirac fields in FLRW spacetime	1
Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage	1
Conditions of boundary layer separation for Boussinesq equations	1
Double layered solutions to the extended Fisher–Kolmogorov P.D.E.	1
Liouville-type theorems for fractional Hardy–Hénon systems	1
Nirenberg problem on high dimensional spheres: blow up with residual mass phenomenon	1
On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus	1
On the strong local optimality for state-constrained control-affine problems	1
Analysis of an epidemiology model with a removal-rate parameter	1
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	1
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	0
Dissipation enhancement by transport noise for stochastic p-Laplace equations	0
Elastic flow of curves with partial free boundary	0
On a class of stochastic partial differential equations with multiple invariant measures	0
Fokker–Planck equations with terminal condition and related McKean probabilistic representation	0
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	0
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	0
Stable critical point of the Robin function and bubbling phenomenon for a slightly subcritical elliptic problem	0
Existence analysis of a degenerate diffusion system for heat-conducting gases	0
A weak KAM approach to the periodic stationary Hartree equation	0
Equivalence and regularity of weak and viscosity solutions for the anisotropic $${{\textbf {p}}}(\cdot )$$-Laplacian	0
Control results for a model of resonant interaction between short and long capillary-gravity waves	0
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	0
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	0
Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold	0
The continuous dependence of the viscous Boussinesq equations uniformly with respect to the viscosity	0
On decay of solutions to some perturbations of the Korteweg-de Vries equation	0
Fixed analytic radius lower bound for the dissipative KdV equation on the real line	0
Insensitizing control problem for the Kawahara equation	0
Relaxation of the Boussinesq system and applications to the Rayleigh–Taylor instability	0
Correction to: Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	0
The Cauchy problem for doubly degenerate parabolic equations with weights	0
Spatial-time decay for nonlinear problems backward in time	0
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	0
Modified scattering for a dispersion-managed nonlinear Schrödinger equation	0
Impact of mixed boundary conditions on stochastic equations with noise at the boundary	0
Scalar conservation law in a bounded domain with strong source at boundary	0
Two-phase Stokes flow by capillarity in the plane: The case of different viscosities	0
Regularity results for a class of nonlinear fractional Laplacian and singular problems	0
Asymptotic mean value properties for the elliptic and parabolic double phase equations	0
Large time asymptotics of solutions to the periodic problem for the quadratic nonlinear Schrödinger equation	0
Boundary regularity of stationary critical points for a Cosserat energy functional	0
Well-posedness of Whitham-Broer-Kaup equation with negative dispersion	0
Weak and strong solutions to nonlinear SPDEs with unbounded noise	0
Existence and non-existence results for a semilinear fractional Neumann problem	0
Fractional $$({\varvec{s}},{\varvec{p}})$$-Robin–Venttsel’ problems on extension domains	0
Mass-energy scattering criterion for double power Schrödinger equations	0
Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow	0
Singular solutions for space-time fractional equations in a bounded domain	0
Weighted $$\infty $$-Willmore spheres	0
Semilinear Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities	0
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	0
Parabolic logistic equation with harvesting involving the fractional Laplacian	0
On the rate of convergence in homogenization of time-fractional Hamilton–Jacobi equations	0
Global regularity of 2D generalized incompressible magnetohydrodynamic equations	0
Response solutions for a class of degenerate oscillators under quasi-periodic perturbations with a small parameter	0
Variational approach for the singular perturbation domain wall system	0
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	0
Lower gradient estimates for viscosity solutions to first-order Hamilton–Jacobi equations depending on the unknown function	0
Stationary fronts and pulses for multistable equations with saturating diffusion	0
Necessary and sufficient conditions for rigidity of Pólya–Szegö inequality under Schwarz symmetrisation	0
Unique ergodicity in stochastic electroconvection	0
Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities	0
A new critical curve for systems of evolution equations with semilinear coupling	0
Periodic solutions of time-dependent perturbed Hamiltonian systems	0
Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems	0
Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities	0
Interface development for the nonlinear degenerate multidimensional reaction–diffusion equations II: fast diffusion versus absorption	0
A family of nonlocal degenerate operators: maximum principles and related properties	0
Doubling the equatorial for the prescribed scalar curvature problem on $${{\mathbb {S}}}^N$$	0
Existence of bound states for quasilinear elliptic problems involving critical growth and frequency	0
On global existence and blowup of solutions of Stochastic Keller–Segel type equation	0
A mean value formula for the variational p-Laplacian	0
Convergence problem of the generalized Kadomtsev–Petviashvili II equation in anisotropic Sobolev space	0
Scattering threshold for the focusing coupled Schrödinger system revisited	0
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	0
Global dynamics of a two-species clustering model with Lotka–Volterra competition	0
Observability and attractors of nonlinear Von Kármán beams	0
Optimal control for the conformal CR sub-Laplacian obstacle problem	0
Existence results for nonlocal problems governed by the regional fractional Laplacian	0
Asymptotic stability of kink with internal modes under odd perturbation	0
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	0
Existence in the nonlinear Schrödinger equation with bounded magnetic field	0
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	0
Domain characterization for Schrödinger operators with sub-quadratic singularity	0
On the double weighted critical quasilinear Hénon problems	0
Optimal stopping of BSDEs with constrained jumps and related double obstacle PDEs	0
Well-posedness of the Cosserat–Bingham fluid equations	0
On parabolic equations in Morrey spaces with VMO a and Morrey b,c	0
Renormalized solutions for convection-diffusion problems involving a nonlocal operator	0
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons	0