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A POSITIVE SOLUTION FOR A NONLOCAL SCHRÖDINGER EQUATION

Part of: Partial differential equations Elliptic equations and systems

Published online by Cambridge University Press:  15 July 2014

YONGCHAO ZHANG  and
GAOSHENG ZHU
YONGCHAO ZHANG*
Affiliation:
School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Taishan Road 143, Qinhuangdao 066004,PR China email ldfwq@163.com
GAOSHENG ZHU
Affiliation:
School of Science, Tianjin University, Weijin Road 92, Tianjin 300072,PR China email gaozsm@163.com
*
✉ldfwq@163.com
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Abstract

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We provide an existence result of radially symmetric, positive, classical solutions for a nonlinear Schrödinger equation driven by the infinitesimal generator of a rotationally invariant Lévy process.

Keywords

nonlocal Schrödinger equationpositive solutionmountain pass theorem

MSC classification

Secondary: 35A01: Existence problems 35A15: Variational methods 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 90 , Issue 3 , December 2014 , pp. 469 - 475
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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