| 摘要: |
| 考虑了一类带有非光滑势的非局部分数阶Laplacian问题.通过一个非光滑的三临界点定理及分数阶Sobolev空间的分析技巧，证明了非局部分数价问题至少存在3个非零弱解. |
| 关键词: 非光滑临界点定理 局部Lipschitz 微分包含 分数阶方程 |
| DOI：10.3969/J.ISSN.1000-5137.2019.03.011 |
| 分类号:O29 |
| 基金项目: |
|
| Multiplicity of solutions for nonlocal fractional equations with nonsmooth potentials |
|
YUAN Ziqing
|
|
Big Date College, Tongren University, Tongren 554300, Guizhou, China
|
| Abstract: |
| This paper is concerned with a class of nonlocal fractional Laplacian problems with nonsmooth potentials. By exploiting an abstract three critical points theorem for nonsmooth functionals, combining with an analytical context on fractional Sobolev spaces, we obtain the existence of at least three weak solutions for nonlocal fractional problems. |
| Key words: nonsmooth critical point theory locally Lipschitz differential inclusion fractional equations |
