Existence of Solution for a Class of Quasilinear Schrödinger Equation in ℝN with Zero-Mass

Authors

Claudianor O. Alves, Unidade Acadêmica de MatemáticaFollow
David G. Costa, University of Nevada, Las VegasFollow
Olímpio H. Miyagaki, Universidade Federal de Juiz de ForaFollow

Document Type

Article

Publication Date

4-18-2019

Publication Title

Journal of Mathematical Analysis and Applications

Volume

477

Issue

2

First page number:

912

Last page number:

929

Abstract

In this paper we use variational methods to establish a Berestycki-Lions type result for two classes of quasilinear Schrödinger equations in ℝN in the zero-mass situation.

Keywords

Schrödinger equation; Variational methods; Nolinear elliptic equation; NLS-like operator

Disciplines

Applied Mathematics

Language

English

Repository Citation

Alves, C. O., Costa, D. G., Miyagaki, O. H. (2019). Existence of Solution for a Class of Quasilinear Schrödinger Equation in ℝN with Zero-Mass. Journal of Mathematical Analysis and Applications, 477(2), 912-929.
http://dx.doi.org/10.1016/j.jmaa.2019.04.037