On a system involving a critically growing nonlinearity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Azzoillini, Antonio²  d'Avenia, Pietro¹ 

[1] Politecn Bari, Dipartimento Matemat, I-70125 Bari, Italy

[2] Univ Basilicata, Dipartimento Matemat & Informat, I-85100 Potenza, Italy

关键词: Critical nonlinearity;    Schrodinger-Poisson system;   

DOI  :  10.1016/j.jmaa.2011.09.012

来源: Elsevier

【 摘 要 】

This paper deals with the system {-Delta u = lambda u + q vertical bar u vertical bar(3)u phi in B(R), -Delta phi = q vertical bar u vertical bar(5) in B(R), u = phi = 0 in partial derivative B(R). We prove existence and nonexistence results depending on the value of lambda. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free