Abstract
Let M be an n-dimensional complete noncompact Riemannian manifold with sec- tional curvature bounded from below, dμ = e h (x) dV (x) the weighted measure and � µ,p the weighted p-Laplacian. In this paper we consider the non-linear elliptic equation � µ,pu = −λµ,p|u| p−2 u
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