We study stability issues for the so-called Borell-Brascamp-Lieb inequalities, proving that when near equality is realized, the involved functions must be $L^1$-close to be $p$-concave and to coincide up to homotheties of their graphs.
Stability for Borell-Brascamp-Lieb inequalities / Andrea, Rossi; Paolo, Salani. - STAMPA. - (2017), pp. 339-363. [10.1007/978-3-319-45282-1_22]
Stability for Borell-Brascamp-Lieb inequalities
ROSSI, ANDREA;SALANI, PAOLO
2017
Abstract
We study stability issues for the so-called Borell-Brascamp-Lieb inequalities, proving that when near equality is realized, the involved functions must be $L^1$-close to be $p$-concave and to coincide up to homotheties of their graphs.
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