منابع مشابه
Sandwich Pairs in Critical Point Theory
Since the development of the calculus of variations there has been interest in finding critical points of functionals. This was intensified by the fact that for many equations arising in practice the solutions are critical points of functionals. If a functional G is semibounded, one can find a Palais-Smale (PS) sequence G(uk) → a, G(uk) → 0. These sequences produce critical points if they have ...
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This paper is concerned with index pairs in the sense of Conley index theory for flows relative to pseudo-gradient vector fields for C 1-functions satisfying Palais-Smale condition. We prove a deformation theorem for such index pairs to obtain a Lusternik-Schnirelmann type result in Conley index theory.
متن کاملJean Mawhin’s contributions to critical point theory
Content The first paper by Jean Mawhin on critical point theory [] was published in and was devoted to periodic solutions of a forced pendulum equation. One of the most recent papers in [] concerns periodic solutions of difference systems with φ-Laplacian. It is impossible to describe all the contributions. We have selected articles, books and some fundamental topics: the force...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-08-04470-x