# Analysis and PDE seminars at Aalto

## Harmonic analysis and PDE seminar

Starting from fall 2017, we have a new concept for the joint seminar. The seminar is held once in 3 weeks but with two one-hour talks. The time is the same as before **Fridays at 14-16.** The place alternates between the University of Helsinki Kumpula Campus (Exactum room **C124**) and the Aalto University Otaniemi Campus (Main Building room **M3**).

The schedule for the fall 2017:

- 29.9. (Kumpula)
- 20.10. (Otaniemi)
- 10.11. (Kumpula)
- 1.12. (Otaniemi)

Everyone interested is welcome!

Organizers of the seminar:

## Analysis and geometry seminar

Analysis and geometry seminar is held usually on **Wednesdays at 12-14 **in** M3**.

Organizers of the seminar:

## Talks

- 27.9. 12:15 Esko Heinonen (University of Helsinki): Existence and non-existence results for minimal graphic and p-harmonic functions – M3 (M234)
In the Euclidean space, by the celebrated result due to Bombieri, De Giorgi, and Miranda, all positive entire solutions of the minimal graph equation are constant. It turns out that on Riemannian manifolds similar results can be obtained for solutions with at most linear growth if the manifold has only one end and asymptotically non-negative sectional curvature. In this talk I will discuss about recent results concerning the existence and non-existence of entire minimal graphic and p-harmonic functions. Talk is based on joint work with Jean-Baptiste Casteras and Ilkka Holopainen.

- 29.9. 14:15 Thomas Singer (Aalto): Existence of variational solutions in non-cylindrical domains – Kumpula Exactum C124
- 29.9. 15:15 Timo Hänninen (HY): Two-weight Lp-Lq bounds for positive dyadic operators in the case 0
- 4.10. 12:15 Juha Videman (Instituto Superior Técnico (IST), Lissabon) : TBA – M3 (M234)
- 11.10. 12:15 Galia Dafni (Concordia University): TBA – M3 (M234)
- 18.10. 12:15 Stavros Evdoridis: TBA – M3 (M234)
- 25.10. 12:15 Dmitry A. Trotsenko (Sobolev Institute of Mathematics): TBA – M3 (M234)

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