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Abstract
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Boundary Value Problems
Volume 2009 (2009), Article ID 865408, 11 pages
doi:10.1155/2009/865408

Infinitely many solutions of strongly indefinite semilinear elliptic systems

Kuan-Ju Chen

Department of Applied Science, Naval Academy, P.O. Box 90175, Zuoying, Kaohsiung 8/303, Taiwan

Abstract

We proved a multiplicity result for strongly indefinite semilinear elliptic systems −Δu+u=±1/(1+|x|a)|v|p−2v in ℝN, −Δv+v=±1/(1+|x|b)|u|q−2u in ℝN where a and b are positive numbers which are in the range we shall specify later.