On a class of mean value inequalities in convex domains

Geometric Aspects of Nonlinear Partial Differential Equations

20 October 14:00 - 15:00

Simon Larson - University of Gothenburg

A consequence of the classical mean value theorem is that the average of a subharmonic function in a ball is bounded from above by its average over the boundary. What happens if we replace the ball by a different domain? In this talk we shall discuss a range of mean value inequalities for subharmonic or convex functions defined on convex domains in $\mathbb{R}^d$.
Panagiota Daskalopoulos
Columbia University
Alessio Figalli
ETH Zürich
Erik Lindgren
Uppsala University
Henrik Shahgholian
KTH Royal Institute of Technology
Susanna Terracini,
University of Turin


Erik Lindgren

Henrik Shahgholian


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