Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators
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Publication:2467093
DOI10.3934/CPAA.2007.6.335zbMATH Open1132.35032arXivmath/0609612OpenAlexW4302037281MaRDI QIDQ2467093
Author name not available (Why is that?)
Publication date: 18 January 2008
Published in: (Search for Journal in Brave)
Abstract: The main scope of this article is to define the concept of principal eigenvalue for fully non linear second order operators in bounded domains that are elliptic and homogenous. In particular we prove maximum and comparison principle, Holder and Lipschitz regularity. This leads to the existence of a first eigenvalue and eigenfunction and to the existence of solutions of Dirichlet problems within this class of operators.
Full work available at URL: https://arxiv.org/abs/math/0609612
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