NON-SMOOTH CRITICAL POINT THEORY ON CLOSED CONVEX SETS

作者：Marano Salvatore A^*; Mosconi Sunra J N

来源：Communications on Pure and Applied Analysis, 2014, 13(3): 1187-1202.

DOI：10.3934/cpaa.2014.13.1187

• Critical point
• weak Palais-Smale condition
• min-max theorem
• functional defined on a closed convex set
• non-smooth function

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.

• 出版日期2014-5