Abstract and Applied Analysis
Volume 3 (1998), Issue 3-4, Pages 437-446

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

Copyright © 1998 Kanishka Perera. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.