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临界增长Hénon方程解的存在性 被引量：2

Existence of Solutions for Critical Growth Hénon Equations
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摘要 利用变分方法对一类临界增长Hénon方程解的存在性进行了研究,证明了此类Hénon方程至少存在一个非平凡解. The Hénon equation with critical growth is considered by variational method.It is proved that there exists at least a nontrivial solution to the above Hénon equation.
作者 龙薇 杨健夫
机构地区 江西师范大学数学与信息科学学院
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2010年第5期463-466,479,共5页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金(10961016 10631030) 江西省自然科学基金(2009GZS0011) 江西师范大学青年成长基金(201096)资助项目
关键词 Hénon方程 临界增长 变分法 Hénon equation critical variational method
分类号 O175.2 [理学—基础数学]
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参考文献10

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同被引文献7

  • 1Felmer P, Quass A, Tan Jinggang. Positive solutions of nonlinear SchrSdinger type system with the Fractional Laplacian [J/OL]. 2010: 1-29. http://www, eapde, cl/mernbers/pfelmer/publication/[97].
  • 2Chen Dezhong, Ma Li. Radial symmetry and monotonicity for an integral equation [J]. J Math Anal Appl, 2008, 342(2): 943-949.
  • 3Chen Dezhong, Ma Li. Radial symmetry and uniqueness for positive solutions of a Schr6dinger type system [J]. Mathematical and Computer Modelling, 2009, 49: 379-385.
  • 4Stein E M. Singular integrals and differentiability properties of functions [M]. Princeton : Princeton University Press, 1970.
  • 5Evans L. Partial differential equations [M]. Providence: American Mathematical Society, 1998.
  • 6Liu Guozhen, Zhu Jiuyi. Symmetry and regularity of extremals of an integral equation related to Hardy-Sobolev inequality [J/OL]. Calculus of Variations, 2011: 1-15. http: //www. springerlink. com/content/8552p65u2m676178/.htm.
  • 7朱红波,王征平,郭渊斌.带有扰动项的Henon方程的多解性研究[J].数学物理学报（A辑）,2012,32(4):785-796. 被引量：1

引证文献2

江西师范大学学报（自然科学版）
2010年 第5期

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