In this paper we deal with critical points obtained via the mountain pass lemma of A. Ambrosetti and P. H. Rabinowitz . The structure of such critical points is studied with some precision and several general results are obtained, such as, for example, in the case of an infinite-dimensional problem, a general alternative between saddle points of mountain pass type or a set of local minima whose closure intersects at least two components of the set of saddle points.
The structure of the critical set in the Mountain Pass Theorem
PUCCI, Patrizia;
1987
Abstract
In this paper we deal with critical points obtained via the mountain pass lemma of A. Ambrosetti and P. H. Rabinowitz . The structure of such critical points is studied with some precision and several general results are obtained, such as, for example, in the case of an infinite-dimensional problem, a general alternative between saddle points of mountain pass type or a set of local minima whose closure intersects at least two components of the set of saddle points.File in questo prodotto:
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