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
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.
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.