| 一类超线性p(x)-调和方程的无穷多解 |
| |
| 引用本文： | 张申贵.一类超线性p(x)-调和方程的无穷多解[J].山东大学学报(理学版),2012,47(10):116-120. |
| |
| 作者姓名： | 张申贵 |
| |
| 作者单位： | 西北民族大学数学与计算机科学学院, 甘肃 兰州 730030 |
| |
| 基金项目： | 中央高校基本科研业务费专项资助，西北民族大学校中青年科研项目 |
| |
| 摘 要： | p(x)-调和方程是一类比较重要的微分方程模型,它来自于非牛顿流体问题及非线性弹性问题。该文利用临界点理论研究p(x)-调和方程解的存在性。在比Ambrosetti-Rabinowitz条件更弱的超线性条件下,得到了无穷多解存在的充分条件, 所得结论推广了已知结果。
|
| 关 键 词： | p(x)-调和方程 超线性 临界点 |
| 收稿时间： | 2011-11-05 |
Infinitely many solutions for a class of superlinear p (x) -biharmonic equation |
| |
| ZHANG Shen-gui.Infinitely many solutions for a class of superlinear p (x) -biharmonic equation[J].Journal of Shandong University,2012,47(10):116-120. |
| |
| Authors: | ZHANG Shen-gui |
| |
| Institution: | College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Gansu, China |
| |
| Abstract: | P(x)-biharmonic equation is an important model of differential equation from non-Newtonian fluid theory and nonlinear elasticity. In this paper, we investigate the existence of infinitely many solutions for p(x)-biharmonic equation by critical point theory. Under a condition weaker than Ambrosetti-Rabinowitz′s superlinear condition, some sufficient conditions for the existence of infinitely many solutions are obtained, and results improve the existing ones. |
| |
| Keywords: | p(x)-biharmonic equation superlinear critical point |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
