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Seminários do IMPA

Geometria Diferencial

Existence and non-existence results for minimal graphic and p-harmonic functions
Esko Heinonen

University of Helsinki
Terça-feira, 27 de junho de 2017, 15:30
Sala 236

 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.