POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC-EQUATIONS WITH CRITICAL SOBOLEV EXPONENT AND MIXED BOUNDARY-CONDITIONS

被引：32
作者：
GROSSI, M [1 ]
PACELLA, F [1 ]
机构：
[1] UNIV ROME LA SAPIENZA,DEPARTIMENTO MATEMAT,I-00185 ROME,ITALY
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1990年 / 116卷
关键词：
D O I：
10.1017/S030821050003136X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we characterise the levels of the functional (0.3) at which the Palais-Smale condition fails in the Sobolev space V(Ω) defined below. From this result we deduce an existence theorem for positive solutions to the mixed boundary problem (0.1)–(0.2) under geometrical assumptions on the domain Ω and the part of the boundary of Ω where a Neumann condition is prescribed. © 1990, Royal Society of Edinburgh. All rights reserved.
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页码：23 / 43
页数：21
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