J. Louet

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20112017

most citedSome results on Sobolev spaces with respect to a measure and applications to a new transport problem

11 citations · 28 across the 6 of their papers we have counts for

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math.AP2016★ 11 cited

Some results on Sobolev spaces with respect to a measure and applications to a new transport problem

Jean Louet

We recall some known and present several new results about Sobolev spaces defined with respect to a measure, in particular a precise pointwise description of the tangent space to t…

math.AP2011★ 6 cited

A sharp inequality for transport maps in W^{1,p}(R) via approximation

Jean Louet, Filippo Santambrogio

For $f$ convex and increasing, we prove the inequality $\int f (∣ U^{'} ∣) \geq \int f (n T^{'})$ , every time that $U$ is a Sobolev function of one variable and $T$ is the non-decreasing map…