Existence of infinitely many spike solutions for a critical Henon type biharmonic equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:441

Article

Zhang, Yajing¹  Chen, Xinfu²  Hao, Jianghao¹ 

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

关键词: Bi-harmonic operator;    Henon problem;    Critical Sobolev exponents;    Spike solution;   

DOI  :  10.1016/j.jmaa.2016.04.028

来源: Elsevier

【 摘 要 】

Following the idea of Wei and Yan [32], with new ingredients to take care of the critical dimension n = 5, we construct infinitely many solutions of the biharmonic equation Delta(2)v = vertical bar x vertical bar alpha v(n+4/n-4) the unit ball of R-n (n >= 5, alpha > 0) with the Navier conditions v = Delta v = 0 on the boundary. (c) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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