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arXiv · 2511.18523

A note on multiple solutions for Kirchhoff-type equations with a Neumann condition

Biagio Ricceri
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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 $$\cases{-K\left(\int_{\Omega}|\nabla u(x)|^2dx\right)\Delta u = h(x,u) & in $\Omega$\cr & \cr {{\partial u}\over {\partial\nu}}=0 & on $\partial\Omega$.\cr}$$

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Biagio Ricceri. 2025-11-23. A note on multiple solutions for Kirchhoff-type equations with a Neumann condition. https://arxiv.org/abs/2511.18523

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