A critical point theory for non-differentiable functionals defined on a closed convex subset of a Banach space is worked out. Special attention is paid to the notion of critical point and possible compactness conditions of Palais-Smale's type. Two Mountain-Pass like theorems are also established. Concepts and results are compared with those already existing in the literature.
|Titolo:||Non-smooth critical point theory on closed convex sets|
|Autori interni:||MARANO, Salvatore Angelo|
MOSCONI, SUNRA JOHANNES NIKOLAJ
|Data di pubblicazione:||2014|
|Rivista:||COMMUNICATIONS ON PURE AND APPLIED ANALYSIS|
|Appare nelle tipologie:||1.1 Articolo in rivista|