Nonexistence Results for the Schrödinger-Poisson Equations with Spherical and Cylindrical Potentials in

Yongsheng Jiang; Yanli Zhou; B. Wiwatanapataphee; Xiangyu Ge

doi:10.1155/2013/890126

Abstract and Applied Analysis (Jan 2013)

Nonexistence Results for the Schrödinger-Poisson Equations with Spherical and Cylindrical Potentials in

Yongsheng Jiang,
Yanli Zhou,
B. Wiwatanapataphee,
Xiangyu Ge

Affiliations

Yongsheng Jiang: School of Statistics & Mathematics, Zhongnan University of Economics & Law, Wuhan 430073, China
Yanli Zhou: School of Statistics & Mathematics, Zhongnan University of Economics & Law, Wuhan 430073, China
B. Wiwatanapataphee: Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
Xiangyu Ge: School of Statistics & Mathematics, Zhongnan University of Economics & Law, Wuhan 430073, China

DOI: https://doi.org/10.1155/2013/890126
Journal volume & issue: Vol. 2013

Abstract

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We study the following Schrödinger-Poisson system: , , , where are positive radial functions, , , and is allowed to take two different forms including and with . Two theorems for nonexistence of nontrivial solutions are established, giving two regions on the plane where the system has no nontrivial solutions.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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