On the study of a class of non-linear differential equations on compact Riemannian manifolds
Carlos Henrique Tomich de Paula da Silva, Romildo da Silva Pina, Marcelo Henrique Xavier De Souza · Publicationes Mathematicae Debrecen · 2018
We study the existence of solutions of the non-linear differential equations on the compact Riemannian manifolds $(M^n,g), n\geq 2$, Δ_p u + a(x)u^{p-1} = λf(u,x), (E2) where $Δ_p$ is the $p-$laplacian, with $1