Hardy-Sobolev equation on compact Riemannian manifolds involving p-Laplacian

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:487

Article

Chen, Nanbo¹  Liu, Xiaochun^1,2 

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Wuhan Univ, Hubei Key Lab Computat Sci, Wuhan 430072, Hubei, Peoples R China

关键词: Hardy-Sobolev equation;    p-Laplacian;    Critical exponent;    Compact Riemannian manifold;   

DOI  :  10.1016/j.jmaa.2020.123992

来源: Elsevier

【 摘 要 】

In this paper, we apply the Hardy-Sobolev inequality and minimization method in the spirit of Aubin to obtain the existence theorem for a class of quasilinear elliptic equations with critical Hardy-Sobolev exponent on compact Riemannian manifolds. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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