7 citations · 34 across the 10 of their papers we have counts for
10 papers
Non-parametric mean curvature flow with prescribed contact angle in Riemannian products
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen +1
Assuming that there exists a translating soliton with speed in a domain and with prescribed contact angle on , we prove that a graphical solution to t…
Translating solitons over Cartan-Hadamard manifolds
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen +1
We prove existence results for entire graphical translators of the mean curvature flow (the so-called bowl solitons) on Cartan-Hadamard manifolds. We show that the asymptotic behav…
Survey on the asymptotic Dirichlet problem for the minimal surface equation
Esko Heinonen
We give a survey on the development of the study of the asymptotic Dirichlet problem for the minimal surface equation on Cartan-Hadamard manifolds. Part of this survey is based on…
Jenkins-Serrin problem for translating horizontal graphs in
Eddygledson S. Gama, Esko Heinonen, Jorge H. de Lira +1
We prove the existence of horizontal Jenkins-Serrin graphs that are translating solitons of the mean curvature flow in Riemannian product manifolds . Moreover, w…
Jenkins-Serrin graphs in
Eddygledson S. Gama, Esko Heinonen, Jorge H. de Lira +1
The so called Jenkins-Serrin problem is a kind of Dirichlet problem for graphs with prescribed mean curvature that combines, at the same time, continuous boundary data with regions…
Asymptotic Dirichlet problems in warped products
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen +1
We study the asymptotic Dirichlet problem for Killing graphs with prescribed mean curvature in warped product manifolds . In the first part of the p…
Existence and non-existence of minimal graphic and -harmonic functions
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen
We prove that every entire solution of the minimal graph equation that is bounded from below and has at most linear growth must be constant on a complete Riemannian manifold wi…
Dirichlet problem for -minimal graphs
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen
We study the asymptotic Dirichlet problem for -minimal graphs in Cartan-Hadamard manifolds . -minimal hypersurfaces are natural generalizations of self-shrinkers which pla…
Asymptotic Dirichlet problem for -harmonic functions on manifolds with pinched curvature
Esko Heinonen
We study the asymptotic Dirichlet problem for -harmonic functions on a Cartan-Hadamard manifold whose radial sectional curvatures outside a compact set satisfy an uppe…
Solvability of minimal graph equation under pointwise pinching condition for sectional curvatures
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen
We study the asymptotic Dirichlet problem for the minimal graph equation on a Cartan-Hadamard manifold whose radial sectional curvatures outside a compact set satisfy an upper…