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

Biagio Ricceri

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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 $\Omega\subset {\bf R}^n$, we consider a nonlocal problem of the type $$\cases{-\Delta u=Q(u,\lambda)f(u) & in $\Omega$ \cr & \cr u=0 & on $\partial\Omega$\cr}$$ where $Q:H^1_0(\Omega)\times {\bf R}\to {\bf R}$, proving, under suitable assumptions, the existence of at least three weak solutions for each $\lambda$ 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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