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- W2767682389 abstract "We construct heteroclinic orbits for a strongly nonlocal integro-differential equation. Since the energy associated to the equation is infinite in such strongly nonlocal regime, the proof, based on variational methods, relies on a renormalized energy functional, exploits a perturbation method of viscosity type and develops a free boundary theory for a double obstacle problem of mixed local and nonlocal type. The description of the stationary positions for the atom dislocation function in a perturbed crystal, as given by the Peierls-Nabarro model, is a particular case of the result presented." @default.
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- W2767682389 date "2017-11-04" @default.
- W2767682389 modified "2023-10-16" @default.
- W2767682389 title "Heteroclinic connections for nonlocal equations" @default.
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