Existence and classification of critical points for nondifferentiable functions
Roberto Livrea, S. Marano · Advances in Differential Equations · 2004
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.