Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898143 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2018 | 25 Pages |
Abstract
In this paper we investigate the validity and the consequences of the maximum principle for degenerate elliptic operators whose higher order term is the sum of k eigenvalues of the Hessian. In particular we shed some light on some very unusual phenomena due to the degeneracy of the operator. We prove moreover Lipschitz regularity results and boundary estimates under convexity assumptions on the domain. As a consequence we obtain the existence of solutions of the Dirichlet problem and of principal eigenfunctions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Isabeau Birindelli, Giulio Galise, Hitoshi Ishii,