A critical point theorem via the Ekeland variational principle |
| |
Authors: | Gabriele Bonanno |
| |
Affiliation: | Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, 98166 - Messina, Italy |
| |
Abstract: | The aim of this paper is to establish the existence of a local minimum for a continuously Gâteaux differentiable function, possibly unbounded from below, without requiring any weak continuity assumption. Several special cases are also emphasized. Moreover, a novel definition of Palais-Smale condition, which is more general than the usual one, is presented and a mountain pass theorem is pointed out. As a consequence, multiple critical points theorems are then established. Finally, as an example of applications, an elliptic Dirichlet problem with critical exponent is investigated. |
| |
Keywords: | 58E30 49J52 49J50 |
本文献已被 ScienceDirect 等数据库收录! |
|