王兴;

• 1:西安理工大学理学院

摘要(Abstract)：

因为奇异项使得分数阶Laplacian方程没有变分结构,所以临界点理论不能直接使用,成为研究此类方程弱解存在性的本质困难.本文首次运用闭锥上的临界点理论,得到奇异分数阶Laplacian方程的正弱解及其正则性.而且,此方法适用于其他奇异分数阶问题.

关键词(KeyWords)： 奇异;分数阶Laplacian;闭锥

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11626185);; 陕西省科技厅科学研究计划资助项目(2017JQ1011);; 陕西省教育厅科学研究资助项目(16KJ1558)

作者(Authors): 王兴;

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