Okinawa Lectures II - Nonlinear potentials in PDE: from uniformly to nonuniformly, Giuseppe Mingione

Video by Okinawa Institute of Science and Technology (OIST)
available a https://vimeo.com/1117315772/5c68a4fea7
Licenza: Creative Commons Attribution

Speaker: Giuseppe Mingione, University of Parma, Italy

Abstract: In these two talks I will summarize a series of recent results in regularity theory of elliptic PDEs, where nonlinear potentials play a key role in order to get sharp a priori regularity estimates. In particular, in the first talk I will concentrate on uniformly, yet degenerate elliptic problems. In this situation it is possible to derive neat, and optimal, potential estimates for solutions. These in turn imply sharp regularity properties in terms of given data.
Date: July 17 (Thursday)
Recent Advances in Potential Theory and Partial Differential Equations 2025

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