ICTP Mathematics Seminar - Thursday 20 September, at 14.30 hrs. (Yongsheng Zhang)

[ICTP Math Section]

MATHEMATICS SEMINARS 2018

Thursday 20 September, at 14.30 hrs.

Yongsheng Zhang (Tongji University, Shanghai)

Title: Dirichlet boundary values on Euclidean balls with infinitely many 
solutions for the minimal surface system

Abstract:

We make systematic developments on Lawson-Osserman constructions 
relating to the Dirichlet problem (over unit disks) for minimal surfaces 
of high codimension in their 1977' Acta paper. In particular, we show 
the existence of boundary functions for which infinitely many analytic 
solutions and at least one nonsmooth Lipschitz solution exist 
simultaneously. This newly-discovered amusing phenomenon enriches the 
understanding on the Lawson-Osserman philosophy.


VENUE:  Stasi Seminar Room (ICTP Leonardo da Vinci Building, first floor)


-- 
Monica Petronela Ancuta
for Ms Mabilo
Secretariat of the ICTP Mathematics Section
math at ictp.it

Abdus Salam International Centre for Theoretical Physics
Strada Costiera 11
34151 Trieste
Italy

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