Positive solutions of quasilinear elliptic equations with critical orlicz-sobolev nonlinearity on RN

被引：151

作者：

Fukagai, Nobuyoshi ^{[1
]}

Ito, Masayuki ^{[1
]}

Narukawa, Kimiaki ^{[1
]}

机构：

[1] Univ Tokushima, Tokushima 770, Japan

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2006年 / 49卷 / 02期

关键词：

quasilinear degenerate elliptic equation; unbounded domain; orlicz-sobolev; critical exponents; mountain pass; concentrationcompactness;

D O I：

10.1619/fesi.49.235

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonnegative nontrivial solution of the quasilinear elliptic differential equation (1.1) below on the entire space is obtained. The function phi(t)t in the principal part is nonhomogeneous and b(t)t has the critical Orliez-Sobolev growth with respect to phi.

引用

页码：235 / 267

页数：33

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