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一类含Hardy位势的超线性椭圆方程非平凡解的存在性 被引量：1

The Existence of Nontrivial Solutions of a Class of Superlinear Elliptic Equations with Hardy Potential
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摘要 构造了一个新的Hilbert空间,研究一类含Hardy位势的超线性椭圆方程.在新空间中利用Cerami条件及山路引理,讨论了该问题非平凡解的存在性. This paper is concerned with a class of superlinear elliptic equations with Hardy potential through establishing a new Hilbert space.It discusses the existence problem of nontrivial solutions in this new space by using the Mountain pass theorem with Cerami condition.
作者 柯敏 姚仰新 余博强
机构地区 华南理工大学理学院数学系
出处 《内蒙古师范大学学报（自然科学汉文版）》 CAS 2010年第2期122-125,共4页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10471047) 广东省自然科学基金资助项目(04020077)
关键词 HARDY位势 CERAMI条件 山路引理 Hardy potential Cerami condition mountain pass theorem
分类号 O175.25 [理学—基础数学]
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参考文献9

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二级参考文献8

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内蒙古师范大学学报（自然科学汉文版）
2010年 第2期

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