We prove the validity of maximum principles for a class of fully nonlinear operators on unbounded subdomains of cylindrical type. The main structural assumption is the uniform ellipticity of the operator along the bounded directions of the domain, with possible degeneracy along the unbounded directions.
Directional ellipticity on special domains: Weak Maximum and Phragmén–Lindelöf principles
Antonio Vitolo
2019-01-01
Abstract
We prove the validity of maximum principles for a class of fully nonlinear operators on unbounded subdomains of cylindrical type. The main structural assumption is the uniform ellipticity of the operator along the bounded directions of the domain, with possible degeneracy along the unbounded directions.File in questo prodotto:
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