Min-max levels on the double natural constraint

Sergio Solimini

DOI: http://dx.doi.org/10.12775/TMNA.2006.032

Abstract


A question about the possibility of using min-max methods on the double
natural constraint, in spite of its lack of regularity, has been raised
in some recent papers.
In this note we give an answer by topological arguments which show
the equivalence between constrained and unconstrained min-max classes,
avoiding in this way any regularity problem.

Keywords


Variational methods; mini-max; elliptic equations

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