Recent progress in nonlinear potential theory
Giuseppe MingioneUniversità di Parma, Italy
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Nonlinear Potential Theory aims at reproducing, in the nonlinear setting, the classical results of potential theory concerning the fine and regularity properties of solutions to linear elliptic and parabolic equations. Potential estimates, integrability, differentiability and continuity properties of solutions are at the heart of the matter. Here we give a brief survey of a few recent results.