Sumários
No lecture scheduled
3 Abril 2019, 15:30 • José Francisco da Silva Costa Rodrigues
No lecture scheduled
No lecture scheduled
28 Março 2019, 14:30 • José Francisco da Silva Costa Rodrigues
No lecture scheduled
A desigualdade isoperimétrica
27 Março 2019, 17:00 • José Francisco da Silva Costa Rodrigues
Isoperimetric inequality
The Wringer inequality in one dimension and the planar isoperimetric inequality; the isoperimetric inequality in higher dimensions based on the Brunn-Minkoswski theorem.
Proposed exercises: 6.2.2 and 6.2.3 (p.160) and 6.3.2 (p.168) of Chap. 6 of the Dacorogna's 2004 ICP book.
Discussions on exercises of previous lectures.
A desigualdade isoperimétrica
27 Março 2019, 15:30 • José Francisco da Silva Costa Rodrigues
Isoperimetric inequality
The Wringer inequality in one dimension and the planar isoperimetric inequality; the isoperimetric inequality in higher dimensions based on the Brunn-Minkoswski theorem.
Proposed exercises: 6.2.2 and 6.2.3 (p.160) and 6.3.2 (p.168) of Chap. 6 of the Dacorogna's 2004 ICP book.
Discussions on exercises of previous lectures.
Questões de regularidade e de superfícies mínimas no Cálculo da Variações
21 Março 2019, 14:30 • José Francisco da Silva Costa Rodrigues
Questions of regularity and minimal sufaces mínimas no Cálculo da Variações
Part 1: Regularity issues arising from the direct method in the Calculus of Variations: the one dimensional case, from the quadratic case with a semi-linear variational term to a general convex case; the Dirichlet integral in n-dimensions and the relations with the elliptic theory of PDEs.
Note. This lecture took place the 22nd March 2019, 14:00—17:00, room 6.2.33 and was based on reading Chapters 4 and 5 of Dacorogna's 2004 ICP book.