REMARKS ON THE SHAPE OF LEAST-ENERGY SOLUTIONS TO A SEMILINEAR DIRICHLET PROBLEM

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Least-energy solutions spike-layer solutions singularly perturbed semilinear Dirichlet problem nontrivial nonnegative solutions.
• 年，卷（期）: 2001,（4）
• 页码范围: 365
• 页数: 1页
• 分类号: O1
• 语种: 英文

摘要

Structure of least-energy solutions to singularly perturbed semilinear smooth domain, is precisely studied as ε→ 0+, for 0 ＜α＜ 1 and a superlinear,subcritical nonlinearity g(u). It is shown that there are many least-energy solutions for the problem and they are spike-layer solutions. Moreover, the measure of each spike-layer is estimated as ε→ 0+.