KMS Of Academy of mathematics and systems sciences, CAS
THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT | |
Han, Pigong1; Liu, Zhaoxia2 | |
2004-07-01 | |
发表期刊 | DIFFERENTIAL AND INTEGRAL EQUATIONS |
ISSN | 0893-4983 |
卷号 | 17期号:7-8页码:835-848 |
摘要 | By means of variational method, we study a singular critical growth semilinear elliptic problem: -Delta u = Q(x)vertical bar u vertical bar(2*-2)u + mu u/vertical bar x vertical bar(2) + lambda u, u is an element of H-0(1) (Omega), where 2* = 2N/N - 2, N >= 7, 0 < mu < (N - 2)(2)/4, lambda > 0, and Q(x) is a positive function on (Omega) over bar. By investigating the effect of the coefficient of the critical nonlinearity, we prove the existence of sign-changing solutions. |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000208532800007 |
出版者 | KHAYYAM PUBL CO INC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/19482 |
专题 | 应用数学研究所 |
通讯作者 | Han, Pigong |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China |
推荐引用方式 GB/T 7714 | Han, Pigong,Liu, Zhaoxia. THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS,2004,17(7-8):835-848. |
APA | Han, Pigong,&Liu, Zhaoxia.(2004).THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT.DIFFERENTIAL AND INTEGRAL EQUATIONS,17(7-8),835-848. |
MLA | Han, Pigong,et al."THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT".DIFFERENTIAL AND INTEGRAL EQUATIONS 17.7-8(2004):835-848. |
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