Multi-layer Local Minimum Solutions of the Bistable Equation in an Infinite Tube
نویسنده
چکیده
We construct local minimum solutions of the semilinear bistable equation by minimizing the corresponding functional near some approximate solutions, assuming that some global minimum solutions are isolated. The key step is to prove with the help of a characterization of Palais-Smale sequences that the functional takes higher values away from the approximate solutions than it does near the approximate solutions.
منابع مشابه
Multi-layer Local Minimum Solutions of the Bistable Equation in Noncylindrical Domains
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.
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