A NOTE ON NODAL NON-RADIALLY SYMMETRIC SOLUTIONS TO EMDEN-FOWLER EQUATIONS

被引：0

作者：

Ramos, Miguel ^{[1
]}

Zou, Wenming ^{[2
]}

机构：

[1] Univ Lisbon, CMAF Fac Sci, P-1649003 Lisbon, Portugal

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年

关键词：

Emden-Fowler equation; nodal solutions; symmetric solutions; variational methods;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of an unbounded sequence of sign-changing and non-radially symmetric solutions to the problem -Delta u = vertical bar u vertical bar(p-1) u in Omega, u = 0 on partial derivative Omega, u(gx) = u(x), x is an element of Omega, g is an element of G, where Omega is an annulus of R(N) (N >= 3), 1 < p < (N + 2)/(N - 2) and G is a non-transitive closed subgroup of the orthogonal group O(N).

引用

页数：5

共 14 条

[1] Sign changing solutions of superlinear Schrodinger equations [J].

Bartsch, T ;

Liu, ZL ;

Weth, T .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (1-2) :25-42

[2] Critical point theory on partially ordered Hilbert spaces [J].

Bartsch, T .

JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 186 (01) :117-152

[3] Remarks on variational methods and lower-upper solutions [J].

Conti, Monica ;

Merizzi, Luca ;

Terracini, Susanna .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1999, 6 (04) :371-393

[4]

GHOUSSOUB N, 1993, CAMBRIDGE TRACTS MAT, V17

[5] SYMMETRY AND RELATED PROPERTIES VIA THE MAXIMUM PRINCIPLE [J].

GIDAS, B ;

NI, WM ;

NIRENBERG, L .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 68 (03) :209-243

[6] Orthogonal group invariant solutions of the Emden-Fowler equation [J].

Kajikiya, R .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 44 (07) :845-896

[7]

Kajikiya R., 1991, HIROSHIMA MATH J, V21, P111

[8]

Kajikiya R., 1990, HIROSHIMA MATH J, V20, P259, DOI DOI 10.32917/hmj/1206129178

[9] UNIQUENESS OF SOLUTIONS OF NON-LINEAR DIRICHLET PROBLEMS [J].

NI, WM .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 50 (02) :289-304

[10]

Rabinowitz P., 1986, CBMS REG C, V65

← 1 2 →