ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains (Q2809272)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains |
scientific article; zbMATH DE number 6586442
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains |
scientific article; zbMATH DE number 6586442 |
Statements
ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains (English)
0 references
27 May 2016
0 references
nonlinear elliptic equations
0 references
maximum principles
0 references
unbounded domains
0 references
Hölder continuity
0 references
0 references
0 references
0 references
0 references
0 references
In this paper, the authors generalize first the result of \textit{X. Cabré} [Commun. Pure Appl. Math. 48, No. 5, 539--570 (1995; Zbl 0828.35017)] concerning Alexandrov-Bakelman-Pucci (ABP) for linear second-order uniformly elliptic operators under a measure theoretic condition on \(\Omega\) to fully nonlinear elliptic equations in unbounded cylindrical domains \(\Omega\subset\mathbb R^n\). Second, they prove global Hölder estimates for the same class of operators.
0 references
