Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition

Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition

We study a quasilinear Schrodinger equation with Robin boundary condition. Using the variational methods and the truncation techniques, we prove the existence of two positive solutions when the parameter A is large enough. We also establish the existence of infinitely many high energy solutions by u...

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Veröffentlicht in:AIMS Mathematics 2020-01, Vol.5 (4), p.3825-3839
Hauptverfasser: Deng, Yin, Jia, Gao, Li, Fanglan
Format: Artikel
Sprache:eng
Schlagworte:
fountain theorem
multiple solutions
quasilinear schrödinger equation
robin boundary
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Beschreibung
Zusammenfassung:We study a quasilinear Schrodinger equation with Robin boundary condition. Using the variational methods and the truncation techniques, we prove the existence of two positive solutions when the parameter A is large enough. We also establish the existence of infinitely many high energy solutions by using Fountain Theorem when [lambda] > 1. Keywords: quasilinear Schrodinger equation; Robin boundary; multiple solutions; Fountain Theorem Mathematics Subject Classification: 35J60, 35J20
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020248