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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