A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Pipschitz continuous term and of a convex, proper, lower semicontinuous function. Some topological properties of the min-max generated critical points in such a framework are then pointed out.
Existence and classification of critical points for nondifferentiable functions
MARANO, Salvatore Angelo
2004-01-01
Abstract
A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Pipschitz continuous term and of a convex, proper, lower semicontinuous function. Some topological properties of the min-max generated critical points in such a framework are then pointed out.File in questo prodotto:
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