## Taiwanese Journal of Mathematics

- Taiwanese J. Math.
- Volume 24, Number 5 (2020), 1249-1258.

### Multiplicity of Solutions for a Sublinear Quasilinear Schrödinger Equation

Gui Bao and Tingzhi Cheng

#### Abstract

In this paper, we are concerned with the multiplicity of solutions for a class of quasilinear elliptic equation arising from plasma physics. By using a dual approach, the existence of infinitely many small solutions are obtained. As a main novelty with respect to some previous results, we assume the potential $V$ may changes sign and do not require any condition at infinity on the nonlinear term.

#### Article information

**Source**

Taiwanese J. Math., Volume 24, Number 5 (2020), 1249-1258.

**Dates**

Received: 1 December 2018

Revised: 28 October 2019

Accepted: 30 October 2019

First available in Project Euclid: 5 November 2019

**Permanent link to this document**

https://projecteuclid.org/euclid.twjm/1572944419

**Digital Object Identifier**

doi:10.11650/tjm/191102

**Mathematical Reviews number (MathSciNet)**

MR4152665

**Subjects**

Primary: 35J20: Variational methods for second-order elliptic equations 35J62: Quasilinear elliptic equations

**Keywords**

quasilinear Schrödinger equation dual approach sublinear

#### Citation

Bao, Gui; Cheng, Tingzhi. Multiplicity of Solutions for a Sublinear Quasilinear Schrödinger Equation. Taiwanese J. Math. 24 (2020), no. 5, 1249--1258. doi:10.11650/tjm/191102. https://projecteuclid.org/euclid.twjm/1572944419