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ERC Workshop on Optimal Transportation and Applications

Regularity Results for Very Degenerate Elliptic Equations

speaker: Alessio Figalli (ETH Zurich)

abstract: In this talk we discuss the regularity properties of solutions for a very degenerate class of elliptic equations, where the coecients of the equation can become identically zero in a region where the gradient of the solution is smaller than a certain constant. This family of equations naturally arises in the context of trac congestion. As a corollary of our results, we recover the classical regularity for the p-Laplacian

timetable:
Tue 6 Nov, 8:30 - 9:20, Aula Dini
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