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A Sign-Changing Solution for an Asymptotically Linear Schrödinger Equation

Published online by Cambridge University Press:  05 January 2015

Liliane A. Maia ,
Olimpio H. Miyagaki  and
Sergio H. M. Soares
Liliane A. Maia
Affiliation:
Universidade de Brasília, Departamento de Matemática, 70910-900 Brasília, Distrito Federal, Brazil (lilimaia@unb.br)
Olimpio H. Miyagaki
Affiliation:
Universidade Federal de Juiz de Fora, Departamento de Matemática, 36036-330 Juiz de Fora, Minas Gerais, Brazil (ohmiyagaki@gmail.com)
Sergio H. M. Soares
Affiliation:
Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus de São Carlos, Caixa Postal 668, 13560-970 Sa˜o Carlos, São Paulo, Brazil (monari@icmc.usp.br)
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Abstract

The aim of this paper is to present a sign-changing solution for a class of radially symmetric asymptotically linear Schrödinger equations. The proof is variational and the Ekeland variational principle is employed as well as a deformation lemma combined with Miranda’s theorem.

Keywords

Schrödinger equationasymptotically linear elliptic equationvariational methodPrimary 35J6135Q5535Q60
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 3 , October 2015 , pp. 697 - 716
Copyright
Copyright © Edinburgh Mathematical Society 2015 

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