Published Paper

Inserted: 7 nov 2007

Journal: J. Math. Pures Appl.
Volume: 87
Number: 6
Pages: 582-600
Year: 2007

Abstract:

We prove maximum and comparison principles for weak distributional solutions of quasilinear, possibly singular or degenerate, elliptic differential inequalities in divergence form on complete Riemannian manifolds. A new definition of ellipticity for nonlinear operators on Riemannian manifolds is introduced, covering the standard important examples. As an application, uniqueness results for some related boundary value problems are presented.

Keywords: Singular and degenerate elliptic inequalities on manifolds, Comparison principles

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