Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

Xiang, Chang-Lin

关键词: Quasilinear elliptic equations;    Hardy's inequality;    Comparison principle;    Asymptotic behaviors;   

DOI  :  10.1016/j.jde.2015.05.007

来源: Elsevier

【 摘 要 】

Optimal estimates on the asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations -Delta(p)u - mu/vertical bar x vertical bar(p)vertical bar u vertical bar(p-2)u = Q(x)vertical bar u vertical bar N-p/N-p-2u, X is an element of R-N, where 1 < p < N, 0 <= mu < ((N - p)/p)(P) and Q is an element of L-infinity(R-N). (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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