Abstract and Applied Analysis
Volume 2003 (2003), Issue 13, Pages 757-768
doi:10.1155/S1085337503303100

Minimax theorems on C1 manifolds via Ekeland variational principle

Abstract

We prove two minimax principles to find almost critical points of C1 functionals restricted to globally defined C1 manifolds of codimension 1. The proof of the theorems relies on Ekeland variational principle.