| R~n上带权函数的超线性p-Laplace方程的无穷多解 |
| |
| 引用本文： | 陈自高. R~n上带权函数的超线性p-Laplace方程的无穷多解[J]. 河北大学学报(自然科学版), 2012, 0(1): 7-11 |
| |
| 作者姓名： | 陈自高 |
| |
| 作者单位： | 华北水利水电学院数学与信息科学学院 |
| |
| 基金项目： | 国家自然科学基金资助项目(11101145);河南省科技厅自然科学基金资助项目(102102210216);河南省教育厅自然科学基金资助项目(2010A110012) |
| |
| 摘 要： | 在无界区域Rn上考虑了一类带权函数的超线性p-Laplace方程,其中非线性项是奇的.在比单调性较弱的条件下,通过利用带Cerami条件的喷泉定理得到了该问题的无穷多解的存在性,推广了一些已知结果.
|
| 关 键 词： | 超线性 Cerami条件 喷泉定理 |
Infinitely many solutions for superlinear p-Laplace equation with weights on R~n |
| |
| CHEN Zi-gao. Infinitely many solutions for superlinear p-Laplace equation with weights on R~n[J]. Journal of Hebei University (Natural Science Edition), 2012, 0(1): 7-11 |
| |
| Authors: | CHEN Zi-gao |
| |
| Affiliation: | CHEN Zi-gao(Department of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou 450011,China) |
| |
| Abstract: | A class of superlinear p-Laplace equation with weights on unbounded domain Rn is considered,where the nonlinearity is odd.In the condition weaker than the monotonicity condition,the existence of infinitely many solutions is obtained through the fountain theorem with Cerami condition.Some known results are generalized. |
| |
| Keywords: | superlinear Cerami condition fountain theorem |
| 本文献已被 CNKI 等数据库收录！ |
