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

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

We study the existence of solutions of the non-linear differential equations on the compact Riemannian manifolds (M n , g), n ≥ 2,where ∆ p is the p-laplacian, with 1 < p < n.The equation ( 1) generalizes a equation considered by Aubin [2], where he has considered, a compact …