Families of functionals representing Sobolev norms

Abstract: This talk is about various families of limit functionals and weak type (quasi)-norms which represent the Lp norm of the gradient. This extends and unifies work by Nguyen and by Brezis, Van Schaftingen and Yung. We discuss some interesting counterexamples and open problems.

Joint work with Haïm Brezis, Jean Van Schaftingen and Po Lam Yung.

analysis of PDEsclassical analysis and ODEsfunctional analysis

Audience: researchers in the topic

OARS Online Analysis Research Seminar

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