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Sign-changing critical points from linking type theorems
Schechter, M. ; Zou, W.
2010-05-06 ; 2010-05-06
关键词sign-changing critical points linking jumping nonlinearities oscillations Schrodinger equation double resonance ELLIPTIC PROBLEMS SCHRODINGER-EQUATIONS FUCIK SPECTRUM INVARIANT-SETS RESONANCE FLOW Mathematics
中文摘要In this paper, the relationships between sign-changing critical point theorems and the linking type theorems of M. Schechter and the saddle point theorems of P. Rabinowitz are established. The abstract results are applied to the study of the existence of sign-changing solutions for the nonlinear Schrodinger equation -Delta u+V(x)u = f(x,u), u is an element of H-1(RN), where f(x,u) is a Caratheodory function. Problems of jumping or oscillating nonlinearities and of double resonance are considered.
语种英语 ; 英语
出版者AMER MATHEMATICAL SOC ; PROVIDENCE ; 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/14088]  
专题清华大学
推荐引用方式
GB/T 7714
Schechter, M.,Zou, W.. Sign-changing critical points from linking type theorems[J],2010, 2010.
APA Schechter, M.,&Zou, W..(2010).Sign-changing critical points from linking type theorems..
MLA Schechter, M.,et al."Sign-changing critical points from linking type theorems".(2010).
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