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临界Sobolev-Hardy指数的拟线性奇性椭圆型方程的非平凡解(英文) 被引量：1

Nontrivial Solution of a Quasilinear Singular Elliptic Equation With Critical Sobolev-Hardy Exponent
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摘要 利用Sobolev Hardy不等式和山路几何研究了临界Sobolev Hardy指数的拟线性奇性椭圆型方程的非平凡解. The nontrivial solution of a quasilinear singular elliptic equation is studied with critical SobolevHardy exponent by virtue of Sobolev-Hardy inequality and the Mountain Pass Geometry.
作者 姚仰新 沈尧天
机构地区 中国科学技术大学数学系
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2003年第4期388-394,共7页 JUSTC
基金 TheprojectissupportedbytheNaturalScienceFoundationofChina(198710 30 )
关键词 拟线性椭圆型方程 临界指数 非平凡解 Sobolev—Hardy不等式 quasilinear elliptic equation critical exponent nontrivial solution Sobolev-Hardy inequality
分类号 O175.25 [理学—基础数学]
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参考文献12

  • 1Lieb E H. Sharp constants in the Hardy-Little-wood-Sobolev and related inequalities [ J ].Annal of Math. , 1993,118:349-374.
  • 2Brezis H, Nirenberg L. Positive solutions of nonlinear elliptic equation involving critical Sobolev exponents [ J ]. Comm. Pure Appl.Math. , 1983,36:437-477.
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同被引文献5

  • 1Caffarelli L, Kohn R, Nirenberg L. First order interpolation inequality with weights[J]. Composition Math. , 1984,53:259-275.
  • 2Chou Kai-seng,Chu Chiu-wing. On the best constant for a weighted Sobolev-Hardy inequality[J]. J. London Math. Soc., 1993,48:137-151.
  • 3Brzzis H, Nirenberg L. Positive solutions of nolinear elliptic equations involving critical Sobolev exponents[J]. Communs Pure Appl. Math. , 1983,36:437-477.
  • 4Chou Kai-seng, Geng Di. On the critical dimension of a semilinear elliptic equation involving critical Sobolev Hardy exponent[J]. Nonlinear Anal. TMA, 1996,12 : 1965- 1984.
  • 5姚仰新,陈志辉,付一平,傅红卓.包含临界指数的半线性椭圆型方程的正解(英文)[J].华南理工大学学报（自然科学版）,2003,31(3):49-52. 被引量：1

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中国科学技术大学学报
2003年 第4期

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