Multi-layer local minimum solutions of the bistable equation in noncylindrical domains

[摘要] We construct local minimum solutions for the semilinear bistable equation by minimizing the corresponding functional near some approximate solutions, under the hypothesis that certain global minimum solutions are isolated. The key is a certain characterization of Palais-Smale sequences and a proof that the functional takes higher values away from the approximate solutions. (C) 1997 Academic Press.

[发布日期] 1997-11-20