| 具非光滑位势共振非线性椭圆方程解的存在性 |
| |
| 引用本文： | 唐胜忠,沈自飞.具非光滑位势共振非线性椭圆方程解的存在性[J].杭州师范学院学报(自然科学版),2009,1(1):30-35. |
| |
| 作者姓名： | 唐胜忠 沈自飞 |
| |
| 作者单位： | 浙江师范大学,数理与信息工程学院,浙江,金华,321004 |
| |
| 基金项目： | 国家自然科学基金，浙江省自然科学基金 |
| |
| 摘 要： | 研究了一类具非光滑位势和p-Laplacian共振非线性椭圆方程（半变分不等式）.通过对非光滑位势作合理假设,利用在非光滑临界点理论上的变分方法,证明了一个非平凡解的存在性定理.
|
| 关 键 词： | Clarke次微分 非光滑 山路引理 p-Laplacian |
An Existence Result for Nonlinear Elliptic Equation at Resonance with Nonsmooth Potential |
| |
| TANG Sheng-zhong,SHEN Zi-fei.An Existence Result for Nonlinear Elliptic Equation at Resonance with Nonsmooth Potential[J].Journal of Hangzhou Teachers College(Natural Science),2009,1(1):30-35. |
| |
| Authors: | TANG Sheng-zhong SHEN Zi-fei |
| |
| Institution: | (College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China) |
| |
| Abstract: | This paper studies a nonlinear elliptic equation at resonance driven by the p-Laplacian with a nonsmooth potential function（hemivariational inequality）, and proves an existence theorem of nontrivial solution by the considerable hypotheses on the nonsmooth potential and variational methods based on the nonsmooth critical point theory. |
| |
| Keywords: | p-Laplacian |
| 本文献已被 维普 万方数据 等数据库收录！ |
