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

2025/11/23 by Ricceri, Biagio
Computer Science · Mathematics · #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · doi:10.48550/arxiv.2511.18523

openalex publication_date 2025/11/23 · openalex created_date 2025/11/27 · openalex updated_date 2026/07/28

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(∫_Ω|∇ u(x)|²dx)Δu = h(x,u) amp; in Ω\cr amp; \cr ∂ u\over ∂ν=0 amp; on ∂Ω.\cr

Citations

• Miscellaneous applications of certain minimax theorems II

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