A general min-max principle established by Ghoussoub is extended to the case of functionals which are the sum of a locally Lipschitz 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.
Livrea, R., Marano, S. (2004). Existence and classification of critical points for nondifferentiable functions. ADVANCES IN DIFFERENTIAL EQUATIONS, 9(9-10), 961-978.
Existence and classification of critical points for nondifferentiable functions
Livrea, Roberto;Marano, Salvatore A.
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 Lipschitz 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.
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