Uniqueness of the least-energy solution for a semilinear Neumann problem期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Uniqueness of the least-energy solution for a semilinear Neumann problem

Authors:	Massimo Grossi

Institution:	Dipartimento di Matematica, Università di Roma ``La Sapienza", P.le A. Moro 2, 00185, Roma, Italy

Abstract:	We prove that the least-energy solution of the problem $\begin{displaymath}\left\{ \begin{array}{ll} -d\Delta u+u=u^p\quad&\mbox{ in }B, u>0\quad&\mbox{ in }B, {{\partial u}\over{\partial\nu}}=0\quad&\mbox{ on }\partial B, \end{array}\right.\end{displaymath}$ where is a ball, and $1<p<{{N+2}\over{N-2}}$ if $N\ge 3$ , if , is unique (up to rotation) if is small enough.

Keywords:	Uniqueness results semilinear elliptic equations Neumann problem

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