On the study of a class of non-linear differential equations on compact Riemannian Manifolds

Carlos Silva, Romildo Pina, Marcelo Souza

We study the existence of solutions of the non-linear differential equations on the compact Riemannian manifolds $(M^n,g),n\ge 2$, Δ_p u + a(x)u^{p-1} = λf(u,x), (E2) where ${\Delta }_p$…