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arXiv · 2607.17969

A multiplicity theorem for a class of nonlocal elliptic equations involving even nonlinearities

Biagio Ricceri
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Abstract

In this paper, on a bounded domain $Ω\subset {\bf R}^n$, we consider a nonlocal problem of the type $$\cases{-Δu=Q(u,λ)f(u) & in $Ω$ \cr & \cr u=0 & on $\partialΩ$\cr}$$ where $Q:H^1_0(Ω)\times {\bf R}\to {\bf R}$, proving, under suitable assumptions, the existence of at least three weak solutions for each $λ$ running in a suitable interval.

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Biagio Ricceri. 2026-07-20. A multiplicity theorem for a class of nonlocal elliptic equations involving even nonlinearities. https://arxiv.org/abs/2607.17969

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