Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian-Reference-Cited by-同舟云学术

Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian

Published:2019-05 Issue:03 Volume:17 Page:425-451
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Alves Claudianor O.¹,Ambrosio Vincenzo²,Torres Ledesma César E.³

Affiliation:

1. Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, CEP: 58429-900, Campina Grande, PB, Brazil

2. Department of Mathematics, EPFL SB CAMA, Station 8, CH-1015 Lausanne, Switzerland

3. Departamento de Matemáticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n, Trujillo, Perú

Abstract

In this paper, we study the existence of heteroclinic solution for a class of nonlocal problems of the type [Formula: see text] where [Formula: see text], [Formula: see text] are continuous functions verifying some technical conditions. For example [Formula: see text] can be asymptotically periodic and potential [Formula: see text] can be the Ginzburg–Landau potential, that is, [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530518500252

Reference27 articles.

1. Existence of heteroclinic solution for a class of non-autonomous second-order equation

2. Nonlinear Perturbations of a Periodic Elliptic Problem with Critical Growth

3. Existence and multiplicity of solutions for a non-linear Schrödinger equation with non-local regional diffusion

4. Existence of Heteroclinic Solutions for a Pseudo-relativistic Allen-Cahn Type Equation

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