Calculus of Variations and Geometric Measure Theory

A. Marino - D. Mugnai

Asymptotically critical points and their multiplicity

created on 11 Jun 2001
modified on 24 Feb 2002


Accepted Paper

Inserted: 11 jun 2001
Last Updated: 24 feb 2002

Year: 2001


In this paper we study multiplicity results for the critical points of a functional via topological information which ensures multiplicity of critical points for a sequence of approximating functionals. The main statement is quite simple, and it seems it could be usefully compared with a large class of problems. In particular we mention some problems that can be studied in this framework.

Keywords: nabla-compactness