一类含Hardy位势的椭圆方程非平凡解的存在性  

Existence of Nontrivial Solutions of an Ellipsic Equation with Hardy Potential

作　　者：余博强[1] 姚仰新[1] 柯敏[1] 

机构地区：[1]华南理工大学理学院数学系,广州510640

出　　处：《科学技术与工程》2009年第13期3587-3589,3594,共4页Science Technology and Engineering

摘　　要：通过建立新空间H,验证了问题对应的能量泛函满足(PS)条件。进一步,通过验证山路几何条件从而得到了一类含Hardy位势的椭圆问题在空间H中非平凡解的存在性。A new space is established. Through the mountain pass theorem with PS condition,the existence of nontrivial solutions of an Ellipsic Equation with Hardy Potential is obtained in the new space.

关 键 词：HARDY位势 非平凡解 山路引理 

分 类 号：O175.25[理学—数学]