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Seminar on theory of function spaces

Extremal functions for Sobolev Embedding and non-linear problems

Jan Lang
The Ohio State University


Thursday, 26. November 2020 - 15:40 to 17:40

On-line seminar; for the access data write to Luboš Pick

We will focus on extremal functions for Sobolev embbedings of 1st and 2nd order and at the eigenfunctions and eigenvalues of corresponding non-linear problems (i.e. pq-Laplacian and pq-bi-Laplacian on interval or rectangular domain). The main results will be the full characterization of spectrum for corresponding non-linear problems, geometrical properties of eigenfunctions and their connection with approximation theory.