Multi-Bubble Solutions for Slightly Super-Critical Elliptic Problems in Domains with Symmetries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

Multi-Bubble Solutions for Slightly Super-Critical Elliptic Problems in Domains with Symmetries

Authors:	Del Pino, Manuel Felmer, Patricio Musso, Monica

Affiliation:	Departamento de Ingeniería, Matemática and CMM, Universidad de Chile Casilla 170 Correo 3, Santiago, Chile Dipartimento di Matematica, Politecnico di Torino Corso Duca degli Abruzzi, 24 – 10129 Torino, Italy; musso{at}calvino.polito.it

Abstract:	The aim of this paper is to show the existence of solutionswith an arbitrarily large number of bubbles for the slightlysuper-critical elliptic problem in ${Omega}$ , subject to the conditions that u > 0 in ${Omega}$ , and u = 0on ${sigma}$ ${Omega}$ , where ${varepsilon}$ > 0 is a small parameter and ${omega}$ $sub$ R^N is a boundeddomain with certain symmetries, for instance an annulus or atorus in R³. 2000 Mathematics Subject Classification 35J25 (primary);35J20, 35J60 (secondary).

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