Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros

被引：14

作者：

Iturriaga, Leonelo ^{[1
]}

Lorca, Sebastian ^{[1
]}

Massa, Eugenio ^{[2
]}

机构：

[1] Univ Tarapaca, Inst Alta Invest, Arica, Chile

[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP, Brazil

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2010年 / 27卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

ELLIPTIC-EQUATIONS; REGULARITY; EXISTENCE;

D O I：

10.1016/j.anihpc.2009.11.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we show the existence of multiple solutions to a class of quasilinear elliptic equations when the continuous non-linearity has a positive zero and it satisfies a p-linear condition only at zero. In particular, our approach allows us to consider superlinear, critical and supercritical nonlinearities. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：763 / 771

页数：9

共 23 条

[1]

Anane A., 1987, Etude des valeurs propres et de la resonance pour l'operateur p-Laplacien

[2]

Berestycki H., 1991, Bol. Soc. Bras. Mat, V22, P1, DOI DOI 10.1007/BF01244896

[3] On a nonlinear elliptic eigenvalue problem [J].