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

Küçük Resim Yok

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer-Verlag Italia Srl

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 Schrodinger-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.

Açıklama

Anahtar Kelimeler

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

Kaynak

Collectanea Mathematica

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

72

Sayı

1

Künye