Subcritical perturbations of a singular quasilinear elliptic equation involving the critical Hardy-Sobolev exponent

被引：28
作者：
Assuncao, R. B.
Carriao, P. C.
Miyagaki, O. H. [1 ]
机构：
[1] Univ Fed Vicosa, Dept Matemat, BR-36571000 Vicosa, MG, Brazil
[2] Univ Fed Minas Gerais, Dept Matemat, BR-31270010 Belo Horizonte, MG, Brazil
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 06期
关键词：
variational methods; singular perturbations; critical exponents and degenerate problems;
D O I：
10.1016/j.na.2006.01.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we improve some known results for a singular operator and also for a wide class of lower-order terms by proving a multiplicity result. The proof is made by applying the generalized mountain-pass theorem due to Ambrosetti and Rabinowitz. To do this, we show that the minimax levels are in a convenient range by combining a special class of approximating functions, due to Gazzola and Ruf, with the concentrating functions of the best Sobolev constant. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1351 / 1364
页数：14
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