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.File in questo prodotto:
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