In this paper, we present a version of the Omori-Yau maximum principle, a Liouville-type result, and a Phragmen-Lindelo¨ff-type theorem for a class of singular elliptic operators on a Riemannian manifold, which include the p-Laplacian and the mean curvature operator. Some applications of the results
Maximum principles for anisotropic elliptic inequalities
β Scribed by Roberto Fortini; Dimitri Mugnai; Patrizia Pucci
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 737 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
We establish some maximum and comparison principles for weak distributional solutions of anisotropic elliptic inequalities in divergence form, both in the homogeneous and nonhomogeneous cases. The main prototypes we have in mind are inequalities involving the p(β’)-Laplace operator and the generalized mean curvature operator.
π SIMILAR VOLUMES
In this paper, we consider the following nonlinear differential inequality: y(t) {~ (Β’(t))' +/(~, ~(t))} < o, (El) where ~p and f satisfy some suitable conditions. Let y(t) be a nontrivial solution of (El). We show that the zeros of y(t) are simple; y(t) and y'(t) have at most finite number of zeros