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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 4
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Articles

The first eigenvalue for a quasilinear Schrödinger operator and its application

Olimpio Hiroshi MiyagakiDepartamento de Matemática, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil.Correspondence[email protected]
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,
Sandra Imaculada MoreiraDepartamento de Matemática e Informática, Universidade Estadual do Maranhão, São Luís, Brazil.View further author information
&
Ricardo RuviaroDepartamento de Matemática, Universidade de Brasília, Brasília, Brazil.View further author information
Pages 499-512 | Received 01 Aug 2016, Accepted 12 Dec 2016, Published online: 04 Jan 2017
 
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Abstract

In this paper, we study the first eigenvalue for a quasilinear Schrödinger operator, which is greater than the first eigenvalue of the usual laplacian operator. As an application we treat a quasilinear resonance problem involving a subcritical growth perturbation.

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

O. H. Miyagaki received research grants from CNPq/Brazil [grant number 304015/2014-8] and INCTMAT/CNPQ/Brazil, R. Ruviaro received research grants from FAPDF/Brazil [193.000.939/2015].

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