A Sign-Changing Solution for an Asymptotically Linear Schrödinger Equation

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.

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Bibliographic Details
Published in:Proceedings of the Edinburgh Mathematical Society 2015-10, Vol.58 (3), p.697-716
Main Authors: Maia, Liliane A., Miyagaki, Olimpio H., Soares, Sergio H. M.
Format: Article
Language:English
Subjects:
Asymptotic methods
Linear equations
Mathematics
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Description
Summary: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.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091514000339