A Class of Variable-Order Fractional p · -Kirchhoff-Type Systems
Author(s) -
Yong Wu,
Zhenhua Qiao,
Mohamed Karim Hamdani,
Bingyu Kou,
Libo Yang
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/5558074
Subject(s) - mathematics , variable (mathematics) , type (biology) , class (philosophy) , order (exchange) , operator (biology) , variational principle , pure mathematics , mathematical analysis , computer science , ecology , biochemistry , chemistry , finance , repressor , artificial intelligence , transcription factor , gene , economics , biology
This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional p x -operator. With the help of the direct variational method and Ekeland variational principle, we show the existence of a weak solution. This is our first attempt to study this kind of system, in the case of variable-order fractional variable exponents. Our main theorem extends in several directions previous results.
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