Minimax results for semicoercive functionals with application to differential equations
Authors:
A. Skowron
Affiliation:
(1) Faculty of Mathematics and Computer Science, University of Lodz, ul. Banacha 22, 90-238 Lodz, Poland
Abstract:
We give minimax theorems for some class of generalized convex and semicoercive functions. We define semicoercive saddle points and give sufficient conditions for functionals to have such critical points. Then we apply this method to show the existence of solutions for partial differential systems at resonance.