Wen Zhang, Xianhua Tang, Jian Zhang
Abstract:
In this article, we study the elliptic boundary value problem
where
is a bounded domain with
smooth boundary
and the potential
is allowed
to be sign-changing. We establish the existence of infinitely many nontrivial
solutions by variant fountain theorem developed by Zou for sublinear
nonlinearity.
Submitted September 8, 2013. Published February 21, 2014.
Math Subject Classifications: 35J25, 35J60.
Key Words: Semilinear elliptic equations; boundary value problems;
sublinear; sign-changing potential.
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Wen Zhang School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: zwmath2011@163.com | |
Xianhua Tang School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: tangxh@mail.csu.edu.cn | |
Jian Zhang School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: zhangjian433130@163.com |
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