Directional ellipticity on special domains: weak Maximum and Phragm\`en-Lindel\"of principles

Italo Capuzzo Dolcetta; Antonio Vitolo

Directional ellipticity on special domains: weak Maximum and Phragm\`en-Lindel\"of principles

Analysis of PDEs 2019-02-05 v1

Authors: Italo Capuzzo Dolcetta , Antonio Vitolo

Abstract

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

Keywords

maximum principles fully nonlinear operators cylindrical domains uniform ellipticity phragmén-lindelöf

Cite

@article{arxiv.1902.01296,
  title  = {Directional ellipticity on special domains: weak Maximum and Phragm\`en-Lindel\"of principles},
  author = {Italo Capuzzo Dolcetta and Antonio Vitolo},
  journal= {arXiv preprint arXiv:1902.01296},
  year   = {2019}
}

Comments

20 pages, 2 figures

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