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Research Article | Open Access

Positive ground state solutions for asymptotically periodic generalized quasilinear Schrödinger equations

Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
Department of Mathematics, Xuzhou Vocational Technology Academy of Finance and Economics, Xuzhou 221008, China
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Abstract

In this paper, we study the existence of a positive ground state solution for a class of generalized quasilinear Schrödinger equations with asymptotically periodic potential. By the variational method, a positive ground state solution is obtained. Compared with the existing results, our results improve and generalize some existing related results.

Keywords

generalized quasilinear Schrödinger equationsasymptotically periodicpositive ground state solutionNehari manifold method
CLC number: 35J60, 35J50

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 1015-1034
DOI: 10.3934/math.2022061

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Zhang S. Positive ground state solutions for asymptotically periodic generalized quasilinear Schrödinger equations. AIMS Mathematics, 2022, 7(1): 1015-1034. https://doi.org/10.3934/math.2022061

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Received: 14 August 2021
Accepted: 08 October 2021
Published: 15 January 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)