Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: do Ó, João Marcosa; * | Miyagaki, Olímpio H.b | Santana, Cláudiac
Affiliations: [a] Department of Mathematics, Federal University of Paraíba, 58059-900 João Pessoa, PB, Brazil | [b] Department of Mathematics, Federal University of Juiz de Fora, 36036-330 Juiz de Fora, MG, Brazil | [c] Department of Exact Sciences and Technology, State University of Santa Cruz, 45662-900 Ilhéus, BA, Brazil
Correspondence: [*] Corresponding author. Tel.: +55 83 3216-7434; Fax: +55 83 3216-7487; E-mail: jmbo@pq.cnpq.br.
Abstract: In this paper we study the existence of bound state solutions for stationary Schrödinger systems of the form −Δu+V(x)u=K(x)Fu(u,v)in RN,−Δv+V(x)v=K(x)Fv(u,v)in RN, where N⩾3, V and K are bounded continuous nonnegative functions, and F(u,v) is a C1 and p-homogeneous function with 2<p<2N/(N−2). We give a special attention to the case when V may eventually vanishes. Our arguments are based on penalization techniques, variational methods and Moser iteration scheme.
Keywords: elliptic systems, variational methods, vanishing potential, nonlinear Schrödinger equations, bounded states
DOI: 10.3233/ASY-151347
Journal: Asymptotic Analysis, vol. 96, no. 3-4, pp. 351-372, 2016
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl