Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024655 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 30 Pages |
Abstract
We study two special cases of the planar least gradient problem. In the first one, the boundary conditions are imposed on a part of a strictly convex domain. In the second case, we impose the Dirichlet data on the boundary of a rectangle, an example of convex but not strictly convex domain. We show the existence of solutions and study their properties for particular cases of boundary data.
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Authors
Wojciech Górny, Piotr Rybka, Ahmad Sabra,