The profile you are now visiting: Esko Heinonem. Go back to Past records to show all talks or carry out a new search.

Talks by Esko Heinonem

Asymptotic Dirichlet problems for the mean curvature operator

Universidad de Helsinki

In \(R^n\) (\(n\) at most 7) the famous Bernstein's theorem states that every entire solution to the minimal graph equation must be affine. Moreover, entire positive solutions in \(R^n\) are constant in every dimension by a result due to Bombieri, De Giorgi and Miranda. If the underlying space is changed from \(R^n\) to a negatively curved Riemannian manifold, the situation is completely different. Namely, if the sectional curvature of \(M\) satisfies suitable bounds, then \(M\) possess a wealth of solutions.
One way to study the existence of entire, continuous, bounded and non-constant solutions, is to solve the asymptotic Dirichlet problem on Cartan-Hadamard manifolds. In this talk I will discuss about recent existence results for minimal graphs and f-minimal graphs. The talk is based on joint works with Jean-Baptiste Casteras and Ilkka Holopainen.

Seminario 2ª Planta, IEMATH

Esko Heinonem

Universidad de Helsinki

Number of talks
Number of visits
Last visit
Country of origin

If you found any mistake, please Contact us in order to correct it.