Multiplicity of Solutions for Elliptic System Involving Supercritical Sobolev Exponent

Authors: Fang, Yanqin¹; Zhang, Jihui²

Source: Acta Applicandae Mathematicae, Volume 115, Number 3, September 2011 , pp. 255-264(10)

Publisher: Springer

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Abstract:

The multiplicity of positive solutions are established for a class of elliptic systems involving nonlinear Schrödinger equations with critical or supercritical growth. The solutions are obtained by using Moser iteration technique.

Keywords: Supercritical Sobolev exponent; Ljusternik-Schnirelmann theory; Moser iteration; 35Q55; 35A15; 35B40

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10440-011-9618-6

Affiliations: 1: Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing, 210046, Jiangsu, People's Republic of China, Email: nj_yqfang@hotmail.com 2: Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing, 210046, Jiangsu, People's Republic of China, Email: jihuiz@jlonline.com

Publication date: 2011-09-01