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Existence of solutions for quasilinear elliptic equations with Hardy potential

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成果类型:
期刊论文
作者:
Deng, Yinbin*;Guo, Yuxia*;Liu, Jiaquan*
通讯作者:
Deng, Yinbin;Guo, Yuxia;Liu, Jiaquan
作者机构:
[Deng, Yinbin] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
[Guo, Yuxia] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China.
[Liu, Jiaquan] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China.
通讯机构:
[Deng, Yinbin] C
[Guo, Yuxia] T
[Liu, Jiaquan] P
Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China.
语种:
英文
关键词:
elliptic equations;perturbation theory
期刊:
Journal of Mathematical Physics
ISSN:
0022-2488
年:
2016
卷:
57
期:
3
页码:
031503
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [11151040, 11331010, 11371160, 11271331]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, we consider the following quasilinear elliptic equation with Hardy potential and Dirichlet boundary condition: -Sigma(N)(i,j=1) D-j(a(i j)(x, u)D(i)u) + 1/2 Sigma(N)(i,j=1) D(s)a(i,j)(x, u)D(i)uD(j)u - lambda|x|(-2)u = f (x, u) in Omega, where Omega subset of R-N (N >= 3) is a smooth bounded domain, D-i = partial derivative/partial derivative x(i), D(s)a(i j)(x, s) = partial derivative/partial derivative s a(i j)(x, s), and 0

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