Abstract and Applied Analysis 
Volume 3 (1998), Issue 3-4, Pages 437-446
doi:10.1155/S1085337598000657

Critical groups of critical points produced by local linking with applications

Kanishka Perera

 Department of Mathematics, University of California Irvine, Irvine 92697-3875, CA, USA
Received 10 March 1998

Abstract

We prove the existence of nontrivial critical points with nontrivial critical groups for functionals with a local linking at 0. Applications to elliptic boundary value problems are given.