Taiwanese Journal of Mathematics

Multiplicity of Solutions for a Sublinear Quasilinear Schrödinger Equation

Gui Bao and Tingzhi Cheng

Advance publication

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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., Advance publication (2019), 10 pages.

Dates
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

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., advance publication, 5 November 2019. doi:10.11650/tjm/191102. https://projecteuclid.org/euclid.twjm/1572944419


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