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Conferencias impartidas por Jorge De Lira

Einstein type elliptic systems

Universidad de Ceará

We will discuss a type of semi-linear systems of partial differential equations which are motivated by the conformal formulation of the Einstein constraint equations coupled with realistic physical fields on asymptotically flat manifolds. In particular, electromagnetic fields give rise to this kind of systems. In this context, under suitable conditions, we prove a general existence theorem for such systems, and, in particular, under smallness assumptions on the free parameters of the problem, we prove existence of far from CMC (near CMC) Yamabe positive (Yamabe non-positive) solutions for charged dust coupled to the Einstein equations, satisfying a trapped surface condition on the boundary. As a bypass, we prove a Helmholtz decomposition on asymptotically flat manifolds with boundary, which extends and clarifies previously known results.

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Graphs with prescribed curvature in warped products

Universidad de Ceará

We discuss existence results for graphs with prescribed r-mean curvature in Riemannian manifolds endowed with either a Killing or a conformal vector field

Seminario de Matemáticas (1ª Planta, Sección de Matemáticas)

Christoffel's problem in Lorentzian Geometry

Universidad de Ceará

M-2

Jorge De Lira

Universidad de Ceará (Brasil)

Conferencias impartidas
3
Visitas al departamento
6
Última visita

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