We consider the Neumann problem for a sublinear elliptic equation in a convex bounded domain of
.
Using an variant of Clark Theorem, we obtain the existence and
multiplicity of its pairs of sign-changing solutions.
Chengyue Li, Qi Zhang, Fenfen Chen
Abstract:
We consider the Neumann problem for a sublinear elliptic equation in
a convex bounded domain of
.
Using an variant of Clark Theorem, we obtain the existence and
multiplicity of its pairs of sign-changing solutions.
Submitted November 5, 2013. Published April 16, 2014.
Math Subject Classifications: 58E05, 34C37, 70H05.
Key Words: Elliptic equation; sublinear potential; Neumann problem;
Clark Theorem; critical point.
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Chengyue Li Department of Mathematics Minzu University of China Beijing 100081, China email: cunlcy@163.com |
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Qi Zhang Department of Mathematics Minzu University of China Beijing 100081, China email: 709341427@qq.com |
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Fenfen Chen Department of Mathematics Minzu University of China Beijing 100081, China email: chenfenfen359@163.com |
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