"A priori" estimates for solutions of singular elliptic inequalities and applications

Mathematics – Differential Geometry

Scientific paper

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Research announcement. 10 pages. No figures. Corrected typos

Scientific paper

We obtain a maximum principle, and "a priori" upper estimates for solutions
of a class of non linear singular elliptic differential inequalities on
Riemannian manifolds under the sole geometrical assumption of volume growth
conditions. Various applications of the results obtained are presented.

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