English

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

Analysis of PDEs 2026-04-14 v1

Abstract

We establish the existence of a positive bounded weak solution for a class of Kirchhoff-type p()p(\cdot)-Laplacian problems involving an arbitrary growth and a sandwich-type growth s()(infp,supp)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.

Keywords

Cite

@article{arxiv.2604.09929,
  title  = {On Kirchhoff-type p(.)-Laplacian problems withsandwich-type and arbitrary growth},
  author = {Ky Ho},
  journal= {arXiv preprint arXiv:2604.09929},
  year   = {2026}
}
R2 v1 2026-07-01T12:03:53.946Z