Multiple solutions of nonhomogeneous elliptic equations with critical nonlinearity on symmetric domains

被引：9

作者：

Clapp, M

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

[2] Univ Versailles, Lab Math Appl, F-78035 Versailles, France

[3] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2003年 / 5卷 / 02期

关键词：

elliptic equation; critical growth; symmetry; group invariance; multiple solutions;

D O I：

10.1142/S0219199703000963

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Dirichlet problem associated to the nonhomogenous elliptic equation -Deltau = \u\(2*-2)u + f with critical exponent on a symmetric domain, and study the impact of symmetries on it. We show that a rich symmetry structure will give rise, in some cases, to many solutions.

引用

页码：147 / 169

页数：23

共 50 条

[31] Positive solutions for elliptic equations with critical growth in unbounded domains
Ramos, M
Wang, ZQ
Willem, M
CALCULUS OF VARIATIONS AND DIFFERENTIAL EQUATIONS, 2000, 410 : 192 - 199
[32] SYMMETRIC DOMAINS AND ELLIPTIC-EQUATIONS
SUZUKI, T
RECENT TOPICS IN NONLINEAR PDE IV, 1989, 160 : 153 - 177
[33] On Entropy Solutions of Anisotropic Elliptic Equations with Variable Nonlinearity Indices in Unbounded Domains
Kozhevnikova L.M.
Journal of Mathematical Sciences, 2021, 253 (5) : 692 - 709
[34] Existence of nontrivial solutions for some elliptic equations with supercritical nonlinearity in exterior domains
Hashimoto, Satoshi
Otani, Mitsuharu
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 19 (02) : 323 - 333
[35] Exactly two positive solutions of nonhomogeneous semilinear elliptic equations in unbounded cylinder domains
Hsu, TS
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (05): : 685 - 705
[36] Positive solutions for nonhomogeneous elliptic equations with critical growth on R2
Zhou, HS
ACTA MATHEMATICA SCIENTIA, 1998, 18 (02) : 124 - 138
[37] POSITIVE SOLUTIONS FOR NONHOMOGENEOUS ELLIPTIC EQUATIONS WITH CRITICAL GROWTH ON R2
周焕松
Acta Mathematica Scientia, 1998, (02) : 124 - 138
[38] Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity
Fang, Xiangdong
Zhang, Jianjun
ADVANCES IN NONLINEAR ANALYSIS, 2020, 9 (01) : 1420 - 1436
[39] Elliptic equations with BMO nonlinearity in Reifenberg domains
Byun, Sun-Sig
Wang, Lihe
ADVANCES IN MATHEMATICS, 2008, 219 (06) : 1937 - 1971
[40] MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED CYLINDER DOMAINS
Hsu, Tsing-San
Lin, Huei-Li
TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (02): : 409 - 428

← 1 2 3 4 5 →