Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional p(. ,.) -Laplacian operator in RN

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Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer-Verlag Italia s.r.l.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, by using variational approach, Mountain Pass Theorem and Krasnoselskii’s genus theory, we show the existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(. ,.) -Laplacian in fractional Sobolev space with variable exponent. We also establish a Bartsch–Wang type compact embedding theorem for fractional Sobolev space with variable exponent. © 2020, Universitat de Barcelona.

Açıklama

Anahtar Kelimeler

Fractional p(.,.)-Laplacian operator, Fractional Sobolev space with variable exponent, Krasnoselskii’s genus, Mountain pass theorem, Schrödinger–Kirchhoff type equations

Kaynak

Collectanea Mathematica

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

72

Sayı

1

Künye