Infinitely many solutions to Kirchhoff-Boussinesq-type equations on Riemannian manifolds

Romulo D. Carlos, Juan Carlos Fernández, María de los Ángeles Sandoval-Romero

We study Kirchhoff-Boussinesq-type equations on closed Riemannian manifolds $(M,g)$ of the form \[ \sum_{j=0}^m a_i(-Δ_g)^m u \pm \text{div}_g(\vert\nabla u\vert_g^{p-2}\nabla u) =…