Heteroclinic connections for nonlocal equations

Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Fractional ordinary differential equations (34A08)

Cites Work

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Nonlocal diffusion and applications
Local and global minimizers for a variational energy involving a fractional norm
Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
Hitchhiker's guide to the fractional Sobolev spaces
Homogenization of the Peierls-Nabarro model for dislocation dynamics
\(\Gamma \)-convergence for nonlocal phase transitions
Is a nonlocal diffusion strategy convenient for biological populations in competition?
Chaotic orbits for systems of nonlocal equations
Nonlocal phase transitions in homogeneous and periodic media
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations
The Peierls-Nabarro model as a limit of a Frenkel-Kontorova model
A logistic equation with nonlocal interactions
Convergence of nonlocal threshold dynamics approximations to front propagation
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint
Periodic and heteroclinic orbits for a periodic Hamiltonian system
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
The evolution of slow dispersal rates: a reaction diffusion model
The Peierls-Nabarro and Benjamin-Ono equations
Degree theory of BMO. I: Compact manifolds without boundaries
Random dispersal vs. non-local dispersal
The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
Weak and viscosity solutions of the fractional Laplace equation
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting
On the smoothness of superharmonics which solve a minimum problem
A New Type of Identification Problems: Optimizing the Fractional Order in a Nonlocal Evolution Equation
Evolutionary stability of ideal free nonlocal dispersal
Regularity theory for fully nonlinear integro-differential equations
User’s guide to viscosity solutions of second order partial differential equations
Heteroclinics for a reversible Hamiltonian system
Layer solutions for a one-dimensional nonlocal model of Ginzburg–Landau type
Connecting orbits for a reversible Hamiltonian system
Lévy flight movement patterns in marine predators may derive from turbulence cues
Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
Layer solutions in a half‐space for boundary reactions
One-dimensional solutions of non-local Allen-Cahn-type equations with rough kernels
Equqtions D'Hamilton-Jacobi Du Premier Ordre Avec Termes Intégro-Différentiels

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