Dongdong Qin, Xianhua Tang, Jiang Zhang
Abstract:
In this article, we study the multiplicity of solutions
for the semilinear elliptic equation
where
, the potential a(x)
satisfies suitable integrability conditions, and the primitive of
the nonlinearity f is of super-quadratic growth near infinity
and is allowed to change sign. Our super-quadratic conditions are weaker
the usual super-quadratic conditions.
Submitted April 22, 2013. Published September 18, 2013.
Math Subject Classifications: 35J25, 35J60, 58E05.
Key Words: Semilinear elliptic equation; super-quadratic;
sign-changing potential.
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Dongdong Qin School of Mathematics and Statistics, Central South University Changsha, 410083 Hunan, China email: qindd132@163.com | |
Xianhua Tang School of Mathematics and Statistics, Central South University Changsha, 410083 Hunan, China email: tangxh@mail.csu.edu.cn | |
Jiang Zhang School of Mathematics and Statistics, Central South University Changsha, 410083 Hunan, China email: zhangjian433130@163.com |
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