Quantitative deformation theorems and critical point theory

Jean-Noël Corvellec

Vol. 187 (1999), No. 2, 263–279

DOI: 10.2140/pjm.1999.187.263

Abstract

In the framework of critical point theory for continuous functionals defined on metric spaces, we show how quantitative deformation properties can be used to obtain saddle-point type results, even in the case when the usual geometric assumptions are not satisfied. We thus unify and extend to a nonsmooth setting some recent results of Schechter.

Milestones

Received: 12 September 1997

Revised: 5 March 1998

Published: 1 February 1999