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arxiv: math/0209384 · v2 · submitted 2002-09-27 · 🧮 math.DG

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

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keywords applicationsellipticestimatesinequalitiespriorisingularsolutionsassumption
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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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