Existence and multiplicity of solutions for fractional κ(ξ)-Kirchhoff-type equation

2023/10/04 by Sousa, J. Vanterler da C., Kucche, Kishor D., Nieto, Juan J.
#35A15 #35D05 #35J60 #35R11 #47J30 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2311.11956

Abstract

In this paper, we aim to tackle the questions of existence and multiplicity of solutions to a new class of κ(ξ)-Kirchhoff-type equation utilizing a variational approach. Further, we research the results from the theory of variable exponent Sobolev spaces and from the theory of space ψ-fractional H^{μ,ν; ψ}_κ(ξ)(Λ). In this sense, we present a few special cases and remark on the outcomes explored.

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