منابع مشابه
Inequalities of Critical Point Theory
A purpose of critical point theory is the counting of critical points of functions. Principal theorems in the subject state in precise terms that topological complexity of the underlying space is reflected in the existence and nature of critical points of any smooth real-valued function defined on the space. The initial development of critical point theory is peculiarly the work of one man, Mar...
متن کاملSandwich 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 ...
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...
متن کاملQuantitative Deformation Theorems and Critical Point Theory
It is well known that deformation theorems are the basic tools in critical point theory. They can be derived under a condition of Palais-Smale type ((PS), for short). In the classical setting of a C1 functional f defined on a Banach space X (or a C2 Finsler manifold), we refer to [15]; for a continuous functional f defined on a complete metric space X, we refer to [8], the results of which incl...
متن کاملCritical Point Theory, a short survey
This is an expanded version of the talk given in the meeting to celebrate the 70th birthday of Prof. Giovanni Castellani. We shortly survey some results in Critical Point Theory.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1975
ISSN: 0035-7596
DOI: 10.1216/rmj-1975-5-3-379