A note on multiple solutions for Kirchhoff-type equations with a Neumann condition
Analysis of PDEs
2025-11-25 v1
Abstract
Using as a main tool our recent result on the strict minimax inequality proved in [5], in this note we establish a multiplicity theorem for a problem of the type \cases{-K\left(\int_{\Omega}|\nabla u(x)|^2dx\right)\Delta u = h(x,u) & in $\Omega$\cr & \cr {{\partial u}\over {\partial\nu}}=0 & on $\partial\Omega$.\cr}
Cite
@article{arxiv.2511.18523,
title = {A note on multiple solutions for Kirchhoff-type equations with a Neumann condition},
author = {Biagio Ricceri},
journal= {arXiv preprint arXiv:2511.18523},
year = {2025}
}