含位势的超线性p-Laplace方程无穷多解的存在性  

Infinitely Many Solutions for a Superlinear p-Laplacian Equation With Hardy Potential

作　　者：余博强[1,2] 姚仰新[1] 郑秋芳[1] 沈辉[1] 

机构地区：[1]华南理工大学理学院数学系,广东广州510640 [2]广州城建职业学院基础部,广东广州510900

出　　处：《南京师大学报（自然科学版）》2010年第3期14-18,共5页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10471047)

摘　　要：研究了一类含Hardy位势的p阶Laplace方程,运用Hardy不等式验证了Cerami条件.进一步,通过带Cerami条件的喷泉定理讨论了无穷多解的存在性.This paper considers a superlinear p-Laplacian equation with Hardy potential.Thanks to Hardy＇s inequality,infinitely many solutions are obtained through the Fountain theorem with Cerami＇s condition.

关 键 词：HARDY不等式 无穷多解 CERAMI条件 喷泉定理 

分 类 号：O175.25[理学—数学]