Existence of Heteroclinic Solutions for a Pseudo-relativistic Allen-Cahn Type Equation
Keyword(s):
AbstractWe study the existence and uniqueness of heteroclinic solutions to non-linear Allen-Cahn equationwhere 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.
2021 ◽
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