In view of applications to the study of regularity properties of minimizers for a continuous model of transportation, which is a kind of divergence-constrained optimization problem, we prove a global $L^\infty$ gradient estimate for solutions of an elliptic equation, whose ellipticity constants degenerate at every point where $|\na u|\le \delta$, with $\delta>0$. The exposition is as self-contained as possible.

Global $L^infty$ gradient estimates for solutions to a certain degenerate elliptic equation

BRASCO, Lorenzo
2011

Abstract

In view of applications to the study of regularity properties of minimizers for a continuous model of transportation, which is a kind of divergence-constrained optimization problem, we prove a global $L^\infty$ gradient estimate for solutions of an elliptic equation, whose ellipticity constants degenerate at every point where $|\na u|\le \delta$, with $\delta>0$. The exposition is as self-contained as possible.
2011
Brasco, Lorenzo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2333287
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