Entire solutions of singular elliptic inequalities on complete manifolds (Q928510)

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scientific article; zbMATH DE number 5290373
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Entire solutions of singular elliptic inequalities on complete manifolds
scientific article; zbMATH DE number 5290373

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    Entire solutions of singular elliptic inequalities on complete manifolds (English)
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    18 June 2008
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    In the very interesting paper under review, the authors present some qualitative properties of solutions to singular quasilinear elliptic inequalities of the type \[ \text{div}\big(A(| \nabla u| )\nabla u\big)-f(u)\geq0 \] over a connected, complete, non-compact Riemannian manifold of dimension \(m\geq2.\) In particular, conditions on the data are given which ensure validity of the weak maximum principle at infinity, and imply non-existence results for the above inequality.
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    quasilinear singular inequalities
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    complete Riemannian manifold
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    maximum principle
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