Article
2021
·
22 citations
Existence and multiplicity of solutions for a Schrodinger-Kirchhoff type equation involving the fractional <i>p</i>(.,.)-Laplacian operator in R<i><SUP>N</SUP></i>
Ayazoglu, Rabil, Sarac, Yesim, Sener, S. Sule, Alisoy, Gulizar
Abstract
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.
Keywords
Fractional Sobolev space with variable exponent
Fractional p(.,.)-Laplacian operator
Schrodinger-Kirchhoff type equations
Mountain pass theorem
Krasnoselskii's genus
ELLIPTIC PROBLEMS
P-LAPLACIAN
P(X)-LAPLACIAN
SPACES
WoS Categories
Mathematics, Applied
Mathematics
Citation
- Journal
- COLLECTANEA MATHEMATICA
- Year
- 2021
- Volume
- 72
- Issue
- 1
- Pages
- 129-156
- ISSN
- 0010-0757
- eISSN
- 2038-4815
- DOI
- 10.1007/s13348-020-00283-5
- WoS UID
- WOS:000516936700001