Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional p(. ,.) -Laplacian operator in RN
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
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