Showing papers by "Antonio Azzollini published in 2022"
TL;DR: In this paper , the authors considered the nonlinear equation involving differential forms on a compact Riemannian manifold and obtained a multiplicity result both in the positive mass case and in the zero mass case.
Abstract: In this paper we consider the nonlinear equation involving differential forms on a compact Riemannian manifold δdξ = 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) ≥ ε > 0 uniformly) and in the zero mass case (f ′(t) ≥ 0 and f ′(0) = 0) where a strong convexity hypothesis on the nonlinearity is assumed.