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October, 2020 Multiplicity of Solutions for a Sublinear Quasilinear Schrödinger Equation
Gui Bao, Tingzhi Cheng
Taiwanese J. Math. 24(5): 1249-1258 (October, 2020). DOI: 10.11650/tjm/191102


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.


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Gui Bao. Tingzhi Cheng. "Multiplicity of Solutions for a Sublinear Quasilinear Schrödinger Equation." Taiwanese J. Math. 24 (5) 1249 - 1258, October, 2020.


Received: 1 December 2018; Revised: 28 October 2019; Accepted: 30 October 2019; Published: October, 2020
First available in Project Euclid: 5 November 2019

MathSciNet: MR4152665
Digital Object Identifier: 10.11650/tjm/191102

Primary: 35J20 , 35J62

Keywords: dual approach , quasilinear , Schrödinger equation , sublinear

Rights: Copyright © 2020 The Mathematical Society of the Republic of China


Vol.24 • No. 5 • October, 2020
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