Positive ground state solutions for asymptotically periodic generalized quasilinear Schrödinger equations

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 impr...

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Veröffentlicht in:AIMS Mathematics 2022-01, Vol.7 (1), p.1015-1034
1. Verfasser: Zhang, Shulin
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022061