BZ Seminar in Analysis: Giuseppe Mingione (Universita' di Parma)

Recent progresses in nonlinear potential theory

Nonlinear potential theory aims at reproducing for nonlinear equations the classical results from linear potential theory about fine properties of harmonic functions and integrability properties of solutions to linear elliptic equations. I will present a number of recent results, obtained in collaboration with Tuomo Kuusi, aimed at giving sharp pointwise bounds for solutions to nonlinear elliptic and parabolic equations in terms of linear and nonlinear potentials. A number of corollaries will be also given

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