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math.MG2014★ 45 cited
Independence on of weak upper gradients on RCD spaces
Nicola Gigli, Bangxian Han
We study -weak gradients on RCD(K,) metric measure spaces and prove that they all coincide for . On proper spaces, our arguments also cover the extremal situation o…
math.MG2014
The abstract Lewy-Stampacchia inequality and applications
Nicola Gigli, Sunra Mosconi
We prove an abstract and general version of the Lewy-Stampacchia inequality. We then show how to reproduce more classical versions of it and, more importantly, how it can be used i…