Multiple solutions of sublinear Lane-Emden elliptic equations

被引：19
|
作者：
Kajikiya, R [1 ]
机构：
[1] Nagasaki Inst Appl Sci, Nagasaki 8510193, Japan
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 26卷 / 01期
关键词：
semilinear elliptic equation; variational method; symmetric breaking;
D O I：
10.1007/s00526-005-0341-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the sublinear elliptic equation, -Delta u = vertical bar u vertical bar(p) sgn u + f(x,u) in the bounded domain Omega under the zero Dirichlet boundary condition. We suppose that 0 < p < 1 and vertical bar f(x,u)vertical bar is small enough near u = 0 and do not suppose that f(x,u) is odd on u. Then we prove that this problem has infinitely many solutions.
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页码：29 / 48
页数：20
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