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	Sign-changing saddle point
	Zou, WM
	2010-05-06 ; 2010-05-06
关键词	saddle-point theorem sign-changing resonant linking ELLIPTIC PROBLEMS INVARIANT-SETS MORSE INDEXES RESONANCE EQUATIONS THEOREMS FLOW Mathematics
中文摘要	In this paper, the Saddle-point theorems are generalized to a new version by showing that there exists a "sign-changing" saddle point besides zero. The abstract result is applied to the semilinear elliptic boundary value problem -Deltau = f (x, u) in Omega. u = 0 on partial derivativeOmega and the Schrodinger equation {-Deltau + V-lambda(x)u = f(x, u), x is an element of R-N, u(x) --> 0 as \x\ --> infinity where Omega subset of R-N is a bounded domain with smooth boundary partial derivativeOmega; the Schrodinger operator -DeltaV + V-lambda has both eigenvalues and essential spectrum. The asymptotically linear case is considered which permits double resonance to be happened. Some existence results of sign-changing solutions are established. (C) 2004 Elsevier Inc. All rights reserved.
语种	英语 ; 英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14094]
专题	清华大学
推荐引用方式 GB/T 7714	Zou, WM. Sign-changing saddle point[J],2010, 2010.
APA	Zou, WM.(2010).Sign-changing saddle point..
MLA	Zou, WM."Sign-changing saddle point".(2010).

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