A note on multiple solutions of some semilinear elliptic problems

[摘要] We discuss the existence of multiple solutions of nonlinear elliptic equations by a combination of variational, topological methods and the generalized Conley index theory. We obtain several positive solutions and sign-changing solutions. Our main point is to show the usefulness of the Morse inequalities for Morse decompositions in the generalized Conley index theory. (C) 1997 Academic Press.

[发布日期] 1997-07-15