Remarks on the Pucci conjecture

Neil S. Trudinger

doi:10.1512/iumj.2020.69.8460

Remarks on the Pucci conjecture

Neil S. Trudinger^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	109-118
Number of pages	10
Journal	Indiana University Mathematics Journal
Volume	69
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2020.69.8460
Publication status	Published - 2020

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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.",

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Remarks on the Pucci conjecture

Abstract

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