摘要
本文考虑在有界区域上具有凹凸非线性项和变号权函数的奇异椭圆系统解的多重性.在适当的假设条件下,我们使用Nehari流形和纤维映射得到了系统至少有两个非平凡解.
In this paper,we consider the multiplicity of solutions for a singular elliptic system with both concaveconvex nonlinearities and sign-changing weight functions in bounded domains.Under some appropriate assumptions,we obtain that the system has at least two nontrivial solutions by using the Nehari manifold and fibering map.
作者
吴梓坚
陈海波
Wu Zijian;Chen Haibo(School of Mathematics and Statistics,Central South University,Changsha,Hunan 410083,China)
出处
《数学理论与应用》
2020年第2期29-46,共18页
Mathematical Theory and Applications
关键词
奇异椭圆系统
凹凸非线性项
变号权函数
NEHARI流形
Singular elliptic system
Concave-convex nonlinearity
Sign-changing weight function
Nehari manifold
