EXISTENCE RESULTS FOR SOME QUASILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS

被引：0

作者：

Ohya, Hirokazu ^{[1
]}

机构：

[1] Waseda Univ, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2004年 / 9卷 / 11-12期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of solutions to zero-Dirichlet-boundary-value problems for the quasilinear elliptic equation (QE)(c) -Delta(p)u - p del(x) . del u vertical bar del u vertical bar(p-2) = lambda a(x)vertical bar u vertical bar(p-2)u + (x)vertical bar u vertical bar(p*-2)u, in an unbounded domain Omega c R-N with smooth boundary partial derivative Omega By using Brezis-Nirenberg's results, we prove that (QE)(c) admits at least one nontrivial weak solution for positive lambda in a suitable interval.

引用

页码：1339 / 1368

页数：30

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