Asymptotically critical points and their multiplicity

Antonio Marino, Dimitri Mugnai

DOI: http://dx.doi.org/10.12775/TMNA.2002.002

Abstract


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


Asymptotically critical points; $\nabla$-compactness

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