Existence of Heteroclinic Solutions for a Pseudo-relativistic Allen-Cahn Type Equation-Reference-Cited by-同舟云学术

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

Published:2015-05-01 Issue:2 Volume:15 Page:395-414
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Ambrosio Vincenzo¹

Affiliation:

1. Dipartimento di Matematica e Applicazioni Università degli Studi di Napoli “Federico II”, via Cinthia, 80126 Napoli, Italy

Abstract

Abstract We study the existence and uniqueness of heteroclinic solutions to non-linear Allen-Cahn equation

where G is a double-well potential. We investigate such a problem using variational methods after transforming the problem to an elliptic equation with a nonlinear Neumann boundary conditions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2015-0207/pdf

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