A Class of Variable-Order Fractional p· -Kirchhoff-Type Systems
Journal of Function Spaces, Volume 2021, Article 5558074, Year 2021
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This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional px-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.