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arXiv · 2311.11956

Existence and multiplicity of solutions for fractional $\kappa(\xi)$-Kirchhoff-type equation

J. Vanterler da C. Sousa·Kishor D. Kucche·Juan J. Nieto
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Abstract

In this paper, we aim to tackle the questions of existence and multiplicity of solutions to a new class of $\kappa(\xi)$-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 $\psi$-fractional $\mathcal{H}^{\mu,\nu;\,\psi}_{\kappa(\xi)}(\Lambda)$. In this sense, we present a few special cases and remark on the outcomes explored.

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J. Vanterler da C. Sousa, Kishor D. Kucche, Juan J. Nieto. 2023-10-04. Existence and multiplicity of solutions for fractional $\kappa(\xi)$-Kirchhoff-type equation. https://arxiv.org/abs/2311.11956

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