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SIGN-CHANGING SOLUTIONS FOR A CLASS OF NONLINEAR SCHRÖDINGER EQUATIONS

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  08 June 2009

XIANGQING LIU  and
YISHENG HUANG
XIANGQING LIU*
Affiliation:
Department of Mathematics, Soochow University, Suzhou 215006, P.R. China Department of Mathematics, Yunnan Normal University, Kunming 650092, P.R. China (email: lxq8u8@163.com)
YISHENG HUANG
Affiliation:
Department of Mathematics, Soochow University, Suzhou 215006, P.R. China (email: yishengh@suda.edu.cn)
*
✉For correspondence; e-mail: lxq8u8@163.com
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Abstract

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Using variational methods, we obtain the existence of sign-changing solutions for a class of asymptotically linear Schrödinger equations with deepening potential well.

Keywords

Schrödinger equationasymptotically linearvariational methodsign-changing solution

MSC classification

Secondary: 35J10: Schrödinger operator 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 2 , October 2009 , pp. 294 - 305
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

Footnotes

This work was supported by the Natural Science Foundation of China (No. 10571174), a grant from Jiangsu Education Committee of China (No. 08KJB110009) and the Foundation of Yunnan Education Committee of China (No. 08Y0144).

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