On Kirchhoff-type p(.)-Laplacian problems with sandwich-type and arbitrary growth

Ky Ho

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arXiv · 2604.09929

On Kirchhoff-type p(.)-Laplacian problems with sandwich-type and arbitrary growth

Ky Ho

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Abstract

We establish the existence of a positive bounded weak solution for a class of Kirchhoff-type $p(\cdot)$-Laplacian problems involving an arbitrary growth and a sandwich-type growth $s(\cdot)\in (\inf p,\sup p)$. This setting leads to substantial analytical difficulties in the variational analysis of the associated energy functional. By combining truncation arguments with a priori estimates, we prove the existence result under suitable assumptions on the data.

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Ky Ho. 2026-04-10. On Kirchhoff-type p(.)-Laplacian problems with sandwich-type and arbitrary growth. https://arxiv.org/abs/2604.09929

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