A critical point theorem suggested by an elliptic problem with asymmetric nonlinearities

[摘要] It is shown that an isolated critical point given by the Ambrosetti-Rabinowitz mountain-pass theorem,''limit'' of minimaximizing paths with fixed end-points, cannot be the ''limit'' of a sequence of minimaximizing homotopical deformations of spheres, for a large class of functionals. This yields a multiplicity result which is applied to the study of elliptic problems with asymmetric nonlinearities. (C) 1995 Academic Press, Inc.

[发布日期] 1995-12-15