| 摘要: |
| 本文利用Clark’s定理研究了半线性分数laplacian方程在原点附近无穷多解的存在性.其中n大于等于2，s属于(0,1), f(x,u)是关于u的奇函数且满足一定的增长条件. |
| 关键词: 分数Laplacian算子 临界点 存在性 |
| DOI： |
| 分类号:O175.2 |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| Multiple Positive Solution for a Halflinear Fractional Laplacian Problem |
|
qiaohualing
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xi'an University of Finance and Ecomonics
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| Abstract: |
| In this paper ,by Clark’s theores,we give the existence of infinitely many critical points for halflinear fractional laplacian problem in near the origin.where n>=2，s belongs (0,1),f(x,u) is odd in u and satisfies the condition of increasing. |
| Key words: Fractional Laplacian operator critical points existence |
