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arXiv · 1902.01296

Directional ellipticity on special domains: weak Maximum and Phragmèn-Lindelöf principles

Italo Capuzzo Dolcetta·Antonio Vitolo
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Abstract

We prove the validity of maximum principles for a class of fully nonlinear operators on unbounded subdomains $Ω\subset \mathbb R^n$ of cylindrical type. The main structural assumption is the uniform ellipticity of the operator along the bounded directions of $Ω$, with possible degeneracy along the unbounded directions.

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Italo Capuzzo Dolcetta, Antonio Vitolo. 2019-02-04. Directional ellipticity on special domains: weak Maximum and Phragmèn-Lindelöf principles. https://arxiv.org/abs/1902.01296

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