Seminar of the Section of Differential Equations

Coordinates:

Currently only on-line

This is a typical reading seminar where we read and try to understand results obtained by others.

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Meetings:

15.XII.2020: Antonio De Rosa will talk about his recent joint work with Riccardo Tione.

Title: Regularity of anisotropic minimal surfaces

Abstract: I will present regularity theorems for weak minimal surfaces with respect to anisotropic surface energies, extending the celebrated isotropic counterparts proved by Allard. In particular, I will discuss the necessary and/ or sufficient conditions on the energy for the validity of these results.
In 2020/2021 the seminar is organised by Iwona Chlebicka and we join her Nonstandard Seminar.

1.VI.2020: Krystian Kazaniecki will talk about Triebel-Lizorkin spaces and related capacities.
18.V.2020: Michał Miśkiewicz will talk about removable sets for solutions of PDEs and connections with capacity.
11.V.2020: Zofia Grochulska We read further the book of Adams and Hedberg.
27.IV.2020: Zofia Grochulska will present the contents of the second chapter of the book "Function Spaces and Potential Theory" by Adams and Hedberg.
20.IV.2020: Zofia Grochulska will present the contents of the second chapter of the book "Function Spaces and Potential Theory" by Adams and Hedberg.
20.IV.2020: Zofia Grochulska will present the contents of the second chapter of the book "Function Spaces and Potential Theory" by Adams and Hedberg.
16.III.2020: Sławomir Kolasiński will tell a story about the paper titled An integrality theorem and a regularity theorem for surfaces whose first variation with respect to a parametric elliptic integrand is controlled by Wiliam Allard (MR0840267).
09.III.2020: Tomáš Roskovec will talk about the Lusin N condition and the Ponomarev examples. The talk shall be based on the following papers: MR0293024, MR1985612, MR1310951.
02.III.2020: Rami Ayoush will continue his talk with emphasis on applications of the theory of A-free measures.
24.II.2020: Rami Ayoush will explain the contents of the paper titled On the structure of A-free measures and applications by Guido De Philippis and Filip Rindler published in Ann. of Math. (2) 184 (2016), no. 3, 1017-1039. (MR3549629).