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| 类p-Laplace方程的无穷多解的存在性 | |
| 引用本文： | 邢小青,耿堤. 类p-Laplace方程的无穷多解的存在性[J]. 数学杂志, 2007, 27(2): 208-214 |
| 作者姓名： | 邢小青 耿堤 |
| 作者单位： | 华南师范大学数学系,广东广州,510631 |
| 基金项目： | 国家自然科学基金;广东省自然科学基金 |
| 摘 要： | 本文研究了类p-Laplace方程,利用证明其对应的变分泛函满足Cerami条件,得到了无穷多个大能量解的存在性,推广并改进了已有结果. |
| 关 键 词： | 类p-Laplace方程 Cerami条件 无穷多解 |
| 文章编号： | 0255-7797（2007）02-0208-07 |
| 修稿时间： | 2004-12-302005-04-08 |
INFINITELY MANY SOLUTIONS FOR p-LAPLACIAN-LIKE EQUATIONS |
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| XING Xiao-qing,GENG Di. INFINITELY MANY SOLUTIONS FOR p-LAPLACIAN-LIKE EQUATIONS[J]. Journal of Mathematics, 2007, 27(2): 208-214 | |
| Authors: | XING Xiao-qing GENG Di |
| Affiliation: | Dept. of Math. ,South China Normal University,Guangzhou 510631, China |
| Abstract: | Consider the p-Laplacian-like equation. By proving that the functional satisfies the Cerami condition, infinitely many large energy solutions are obtained,which extend and improve the known results. |
| Keywords: | p-Laplacian-like equation Cerami condition infinite many solutions. |
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