BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Inhomogeneous Hopf-Oleinik Lemma and Regularity of the Normal Mapping for Supersolutions Moreira, Diego


In this talk, we discuss a quantitative inhomogeneous version for the Hopf-Oleinik Lemma for Fully nonlinear and Quasilinear PDEs. This allows us to obtain several interior and up to the boundary regularity results for these equations and related free boundary problems. In this talk, we focus on the regularity of the normal mapping for supersolutions as an extension of the gradient estimates obtained by Caffarelli-Kohn-Nirenberg-Spruck in the mid 80's. We will survey other results if time permits.

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