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一类带有临界Sobolev指标和强奇性项椭圆方程解的存在性 被引量：1

Existence of Solution for an Elliptic Equation with Strong Singular Item and Critical Sobolev Exponents
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摘要 运用变分方法及Hardy不等式讨论了一类特殊的椭圆方程,证明了在一定条件下方程解的存在性。 This paper discusses a class special elliptic equation with strong singular item and critical Sobolev exponents by Variational method in PDE and Hardy inequality. Under certain conditions, the existence of at least one solution about the equation was proved.
作者 易刚
机构地区 华中师范大学数学与统计学院
出处 《湖北汽车工业学院学报》 2007年第2期78-80,共3页 Journal of Hubei University Of Automotive Technology
关键词 临界椭圆方程 HARDY不等式 奇性项 解的存在性 critical elliptic equation Hardy inequality singular item existence of solution
分类号 O174.54 [理学—基础数学]
  • 相关文献

参考文献5

  • 1Garcia Azorero J,Peral Alonso I.Hardy inequalities and some critical elliptic and parabolic problems[J].J.Diff.Equs,1998,144(2):441-476.
  • 2Cheng Ting.Existence of minimal positive solution for a class special elliptic equation[J].J Central China Normal University,2001,35(2):136-140.
  • 3Jannelli E.The role played by space dimension in elliptic critical problems[J].J.Diff.Equs,1999,156(2):407-426.
  • 4Brezis H,Nirenberg L.Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents[J].Comm pure Appl Math,1983,36(3):437-477.
  • 5Struwe M.Variational methods[M].Berlin:Springerverlag,1996.2-9.

同被引文献9

  • 1Garcia Azorero J. Hardy inequalities and some critical elliptic and parabolic problem [J]. J. Diff. Equs, 1981,242 (1): 397-414.
  • 2ChengTing. Existence of minimal positive solution for a class special elliptic equation [J]. Central China Normal University,2001,35 (2) : 136-140.
  • 3Jannelli E. The role played by space dimension in elliptic critical problems [J]. J. Diff. Equs,1999,156 (2) : 407-426.
  • 4N irenberg L Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents [J]. Comm pure Appl Math, 1983,36 (3) :437-477.
  • 5K. S. Chou,C. W. Chu. On the best constant for a weighted Sobolev-Hardy inequality [J]. J. London Mate Soc,1993,48 (1) : 137-151.
  • 6J. P. G. Azorero,I. Peral,Alonso. Hardy inequalities and some critical elliptic and parabolic problems [J]. J. Diff. Equs, 1988,144 ( 1 ) :441-476.
  • 7S. Terracini. On positive solutions to a class equations with a singular coefficient and critical exponent [J]. Adv. Differential Equations, 1996,37 (2) : 241-264.
  • 8I. Ekeland,N. Ghoussoub. Selected new aspects of the calculus of variations in the large [J]. Bull. Amer. Math. Soc. 2002,39 ( 1 ) : 207-265.
  • 9陈亚浙,吴兰成.二阶段椭圆方程与椭凤方程组[D].北京:科学出版社,1995.

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湖北汽车工业学院学报
2007年 第2期

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