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

共 50 条

[1] QUASILINEAR ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS
GUEDDA, M
VERON, L
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (08) : 879 - 902
[2] EXISTENCE RESULTS FOR ELLIPTIC SYSTEMS INVOLVING CRITICAL SOBOLEV EXPONENTS
Bouchekif, Mohammed
Nasri, Yasmina
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
[3] A quasilinear elliptic problem involving critical Sobolev exponents
Faraci, Francesca
Farkas, Csaba
[J]. COLLECTANEA MATHEMATICA, 2015, 66 (02) : 243 - 259
[4] A quasilinear elliptic problem involving critical Sobolev exponents
Francesca Faraci
Csaba Farkas
[J]. Collectanea Mathematica, 2015, 66 : 243 - 259
[5] Quasilinear Elliptic Systems Involving Critical Hardy–Sobolev and Sobolev Exponents
Dongsheng Kang
Yangguang Kang
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 1 - 17
[6] EXISTENCE RESULTS FOR DEGENERATE ELLIPTIC EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENTS
范海宁
刘晓春
[J]. Acta Mathematica Scientia, 2014, 34 (06) : 1907 - 1921
[7] Existence of Positive Solutions to Nonlinear Elliptic Equations Involving Critical Sobolev Exponents
汪徐家
[J]. Acta Mathematica Sinica., 1992, (03) - 291
[8] EXISTENCE RESULTS FOR DEGENERATE ELLIPTIC EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENTS
Fan, Haining
Liu, Xiaochun
[J]. ACTA MATHEMATICA SCIENTIA, 2014, 34 (06) : 1907 - 1921
[9] On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents
Cao, DM
Zhou, HS
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1996, 47 (01): : 89 - 96
[10] Existence of Positive Solutions to Nonlinear Elliptic Equations Involving Critical Sobolev Exponents
汪徐家
[J]. Acta Mathematica Sinica,English Series, 1992, (03) : 273 - 291

← 1 2 3 4 5 →