We establish some maximum and comparison principles for weak distributional solutions of anisotropic elliptic inequalities in divergence form, both in the homogeneous and non homogeneous case. The main prototypes we have in mind are inequalities involving the p(·)–Laplace operator and the generalized mean curvature operator.
Maximum principles for anisotropic elliptic inequalities
MUGNAI, Dimitri;PUCCI, Patrizia
2009
Abstract
We establish some maximum and comparison principles for weak distributional solutions of anisotropic elliptic inequalities in divergence form, both in the homogeneous and non homogeneous case. The main prototypes we have in mind are inequalities involving the p(·)–Laplace operator and the generalized mean curvature operator.File in questo prodotto:
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