This paper surveys some recent work on a variant of the Mountain Pass Theorem that is applicable to some classes of differential equations involving unbounded spatial or temporal domains. In particular its application to a system of semilinear elliptic PDEs on $R^n$ and to a family of Hamiltonian systems involving double well potentials will also be discussed.
A Variant of the Mountain Pass Theorem and Variational Gluing
Montecchiari, Piero;
2020-01-01
Abstract
This paper surveys some recent work on a variant of the Mountain Pass Theorem that is applicable to some classes of differential equations involving unbounded spatial or temporal domains. In particular its application to a system of semilinear elliptic PDEs on $R^n$ and to a family of Hamiltonian systems involving double well potentials will also be discussed.File in questo prodotto:
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