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.
Existence of heteroclinic solutions for a pseudo-relativistic Allen-Cahn type equation / Ambrosio, Vincenzo. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - 15:2(2015), pp. 395-414. [10.1515/ans-2015-0207]
Existence of heteroclinic solutions for a pseudo-relativistic Allen-Cahn type equation
AMBROSIO, VINCENZO
2015-01-01
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.File in questo prodotto:
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