On the existence of solutions of the second boundary value problem for $p$-Laplacian on Riemannian manifolds

V. V. Brovkin, A. A. Kon'kov

We obtain necessary and sufficient existence conditions for solutions of the boundary value problem $$ Δ_p u = f \quad \mbox{on } M, \quad \left. \left| \nabla u \right|^{p - 2} \f…