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.
From: Ky Ho [view email]
[v1]
Fri, 10 Apr 2026 22:06:33 UTC (9 KB)
[v2]
Mon, 1 Jun 2026 22:05:36 UTC (10 KB)
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