2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122778In this paper we consider the nonlinear equation involving differential forms on a compact Riemannian manifold $δd ξ= f'(<ξ,ξ>)ξ$. This equation is a generalization of the semilinear Maxwell equations recently introduced in a paper by Benci and Fortunato. We obtain a multiplicity result both in the positive mass case (i.e. $f'(t)\geqε>0$ uniformly) and in the zero mass case ($f'(t)\geq 0$ and $f'(0)=0$) where a strong convexity hypothesis on the nonlinearity is assumed.24 pagesAnalysis of PDEs35Q55text