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; Rabinowitz, Paul H.. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - ELETTRONICO. - 88:2(2020), pp. 347-372. [10.1007/s00032-020-00318-3]

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.
2020
Variational methods, mountain pass theorem, variational gluing, nondegeneracy condition, heteroclinic solutions, homoclinic solutions, double well potential, multitransition solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/283752
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