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.File in questo prodotto:
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