Multiplicity of Positive and Nodal Solutions for Nonhomogeneous Elliptic Problems in Unbounded Cylinder Domains

被引:0
|
作者
Hsu, Tsing-San [1 ]
机构
[1] Chang Gung Univ, Ctr Gen Educ, Tao Yuan 333, Taiwan
来源
关键词
STRIP-DOMAINS; EQUATIONS; FUNCTIONALS; SYMMETRY; EXPONENT;
D O I
10.1155/2009/687385
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that if a(x) and f(x) satisfy some suitable conditions, then the Dirichlet problem -Delta u + u = a(x)vertical bar u vertical bar(p-2)u + f(x) in Omega has a solution that changes sign in Omega, in addition to two positive solutions where Omega is an unbounded cylinder domain in R(N). Copyright (C) 2009 Tsing-San Hsu.
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页数:20
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