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Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials

Published online by Cambridge University Press:  03 June 2015

Anouar Bahrouni ,
Hichem Ounaies  and
Vicenţiu D. Rădulescu
Anouar Bahrouni
Affiliation:
Mathematics, Faculty of Sciences, University of Monastir, 5019 Monastir, Tunisia, (bahrounianouar@yahoo.fr; hichem.ounaies@fsm.rnu.tn)
Hichem Ounaies
Affiliation:
Mathematics, Faculty of Sciences, University of Monastir, 5019 Monastir, Tunisia, (bahrounianouar@yahoo.fr; hichem.ounaies@fsm.rnu.tn)
Vicenţiu D. Rădulescu
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, PO Box 80203, Jeddah 21589, Saudi Arabia, (vicentiu.radulescu@math.cnrs.fr) and ‘Simion Stoilow’ Institute of Mathematics of the Romanian Academy, PO Box 1–764, 014700 Bucharest, Romania
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Abstract

In this paper we are concerned with qualitative properties of entire solutions to a Schrödinger equation with sublinear nonlinearity and sign-changing potentials. Our analysis considers three distinct cases and we establish sufficient conditions for the existence of infinitely many solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 3 , June 2015 , pp. 445 - 465
Copyright
Copyright © Royal Society of Edinburgh 2015 

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