郑州大学学报（理学版）2012，Vol.44Issue(1)：11-14,4.DOI:10.3969/j.issn/1671-6841.2012.01.003
含Hardy位势的超线性p-Laplace方程的无穷多解
Infinitely Many Solutions for a Superlinear p-Laplace Equation with Hardy Potential
摘要
Abstract
Dirichlet problem of a superlinear p-Laplace equation with Hardy potential was considered, where the nonlinearity was odd. When the condition was weaker than the generalized monotonicity condition, the existence of infinitely many solutions was obtained through the Fountain theorem with Cerami condition. Some known results were generalized.关键词
Hardy不等式/超线性/Cerami条件/喷泉定理Key words
Hardy' s inequality/ superlinear/ Cerami condition/ Fountain theorem分类
数理科学引用本文复制引用
陈自高,谷留新..含Hardy位势的超线性p-Laplace方程的无穷多解[J].郑州大学学报（理学版）,2012,44(1):11-14,4.基金项目
河南省教育厅自然科学基金资助项目,编号2010A110012 （）
河南省科技厅自然科学基金资助项目,编号102102210216. （）
