Boundary blow-up for a Brezis-Peletier problem on a singular domain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

按检索

Boundary blow-up for a Brezis-Peletier problem on a singular domain

Authors:	Angela Pistoia Olivier Rey

Institution:	(1) Dipartimento di Metodi e Modelli Matematici, Universitá di Roma La Sapienza, 00100 Roma, Italy;(2) Centre de Mathématiques, Ecole Polytechnique, 91128 Palaiseau Cedex, France

Abstract:	Let $\tilde{\Omega}\in\mathbb{R}^{N}$ , $N\geq 3$ , be a bounded domain as defined by Flucher, Garroni and Müller 6], which has a singular point $\overline{x}\in\partial\tilde{\Omega}$ such that the Robins function achieves its infimum at $\overline{x}$ . Considering the elliptic problem $(P_{\varepsilon}): \ -\Delta u = u^{p-\varepsilon},\ u > 0$ in $\tilde{\Omega}$ ; u = 0 on $\partial\tilde{\Omega}$ , with p = (N + 2)/(N-2), $\varepsilon > 0$ , and $u_{\varepsilon}$ a minimizing solution of $(P_{\varepsilon})$ , $u_{\varepsilon}$ concentrates at $\overline{x}$ as $\varepsilon$ goes to zero.Received: 15 September 2002, Accepted: 5 November 2002, Published online: 16 May 2003Mathematics Subject Classification: 35J65Angela Pistoia: The author is supported by M.U.R.S.T., project Metodi variazionali e topologici nello studio di fenomeni non lineari

Keywords:
本文献已被 SpringerLink 等数据库收录！