Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity

Authors:	Email author" target="_blank">Francois?A?van?Heerden Email author

Institution:	(1) Department of Mathematics and Statistics, Utah State University, UT 84322 Logan

Abstract:	We study the following semilinear elliptic equation $-\Delta u + b(x)u = f(u), \ \ \ x\in{\mathbf R}^N,$ where b is periodic and f is assumed to be asymptotically linear. The purpose of this paper is to establish the existence of infinitely many homoclinic type solutions for this class of nonlinearities.Received: 30 December 2002, Accepted: 26 August 2003, Published online: 15 October 2003Mathematics Subject Classification (2000): 35J60,35B05, 58E05

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