Multiplicity of solutions to the Dirichlet problem for generalized Hénon equation

被引：0
|
作者：
Kolonitskii S.B. [1 ]
Nazarov A.I. [1 ]
机构：
[1] St.Petersburg State University,
来源：
Journal of Mathematical Sciences | 2007年 / 144卷 / 6期
关键词：
Weak Solution; Elliptic Equation; Dirichlet Problem; Radial Function; Closed Subgroup;
D O I：
10.1007/s10958-007-0299-7
中图分类号：
学科分类号：
摘要：
For the boundary value problem - Δu= |x|α u q - 1 in B_1, u| ∂B1 = 0 and some more general problems the existence of any a priori given number of different positive solutions is established under suitable conditions on q and α. Nonradial solutions to the problem are constructed for some supercritical q. Bibliography: 30 titles. © 2007 Springer Science+Business Media, Inc.
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页码：4624 / 4644
页数：20
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