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Global gradient estimates for solutions to a certain degenerate elliptic equation

โœ Scribed by L. Brasco

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
311 KB
Volume
74
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

In view of the applications in 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 โˆž gradient estimate for solutions of an elliptic equation, whose ellipticity constants become degenerate at every point where |โˆ‡u| โ‰ค ฮด, with ฮด > 0.

The exposition is as self-contained as possible.

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