Remarks on the Pucci Conjecture

Date

2020

Authors

Trudinger, Neil

Journal Title

Journal ISSN

Volume Title

Publisher

Indiana University Press

Abstract

The Pucci conjecture concerns a sharp form of a maximum principle for linear second-order uniformly elliptic partial differential equations in terms of an integral norm of the inhomogeneous term and an ellipticity constant. In this note we consider refinements of its solution in the cases of integral exponents by Kuo and Trudinger and two dimensions by Astala, Iwaniec, and Martin.

Description

Keywords

Citation

Source

Indiana University Mathematics Journal

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

Restricted until

2099-12-31

Downloads