【摘要】 研究了含有奇异项的分数阶Laplacian问题.证明了当参数较小时,奇异椭圆问题正弱解的存在性及多重性.尤其,在本文的结果中检验函数不需要具有紧支集,其方法可用于证明其他奇异分数阶问题正弱解的存在性.更多还原

【Abstract】 In this paper, we deal with a class of singular elliptic problems with fractional Laplacian. Our results show the existence and multiplicity of weak positive solutions to singular elliptic problems when the parameter small enough. It is worth pointing out that since the testing functions without a compact support in our results, our method can be used to give a direct and simple proof of the existence of weak positive solutions for other singular fractional problems.更多还原