| SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN R^N |
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| 引用本文： | 王征平 周焕松. SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN R^N[J]. 数学物理学报(B辑英文版), 2006, 26(3): 525-536 |
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| 作者姓名： | 王征平 周焕松 |
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| 作者单位： | Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences P.O.Box 71010 Wuhan 430071，China，Graduate School Chinese Academy of Sciences，Beijing 100049，China |
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| 基金项目： | This work was supported by NNSFC (10571174) |
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| 摘 要： | For the following elliptic problem where 2-(s)=2(N-s)/N-2 is the critical Sobolev-Hardy exponent, h(x)∈(D1,2(RN))*, the dual space of (D1,2(RN)), with h(x)≥((?))0. By Ekeland's variational principle, subsuper solutions and a Mountain Pass theorem, the authors prove that the above problem has at least two distinct solutions if
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| 关 键 词： | 临界Sobolev-Hardy指数 椭圆方程 非统一性 次超级解 |
| 收稿时间： | 2004-10-30 |
| 修稿时间： | 2005-10-24 |
SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN RN |
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| Wang Zhengping, Zhou Huansong. SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN RN[J]. Acta Mathematica Scientia, 2006, 26(3): 525-536 |
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| Authors: | Wang Zhengping Zhou Huansong |
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| Abstract: | |
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| Keywords: | Critical Sobolev-Hardy exponent elliptic equation Mountain Pass theorem subsuper solutions nonhomogeneous |
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