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	Multi-bump solutions for a strongly indefinite semilinear Schrodinger equation without symmetry or convexity assumptions
	Chen, Shaowei
	2008
关键词	semilinear Schrodinger equation multi-bump solutions critical group reduction methods PRESCRIBED NUMBER NODAL SOLUTIONS DOMAINS
英文摘要	In this paper, we study the following semilinear Schrodinger equations with periodic coefficient: -Delta u + V(x)u = f(x, u), u is an element of H-1 (R-N). The functional corresponding to this equation possesses strongly indefinite structure. The nonlinear term f(x,t) satisfies some superlinear growth conditions and need not be odd or increasing in t. Using a new variational reduction method and a generalized Morse theory, we proved that this equation has infinitely many geometrically different solutions . Furthermore, if the solutions of this equation under some energy level are isolated, then we can show that this equation has infinitely many m-bump solutions for any positive integer m >= 2. (C) 2007 Elsevier Ltd. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); EI; 0; ARTICLE; 10; 3067-3102; 68
语种	英语
出处	EI ; SCI
出版者	nonlinear analysis theory methods applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157807]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chen, Shaowei. Multi-bump solutions for a strongly indefinite semilinear Schrodinger equation without symmetry or convexity assumptions. 2008-01-01.

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