Dept Banner
Dept Banner


Download as iCal file

Nonlinear Analysis

Characterization of f-extremal disks

Jose Espinar: IMPA, Rio de Janeiro

Location:  Hill 705
Date & time: Tuesday, 28 February 2017 at 1:40PM - 1:41PM

In this talk we show uniqueness for overdetermined elliptic problems defined on topological disks with regular boundary, i.e., positive solutions \[u\] to \[ Delta u + f(u)=0\] in \[ Omega subset (M^2,g)\] so that \[u = 0\] and \[ frac{ partial u}{ partial vec eta} = cte \] along \[ partial Omega\], \[ vec eta\] the unit outward normal along \[ partial Omega\] under the assumption of the existence of a candidate family. To do so, we adapt the G'alvez-Mira generalized Hopf-type Theorem to the realm of overdetermined elliptic problem. In particular, this gives a positive answer to the Schiffer conjecture for the first Dirichlet eigenvalue and classifies simply-connected harmonic domains, also called { it Serrin Problem}) in \[ mathbb S ^2\].

This is a joint work with L. Mazet.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530