Special cases of the planar least gradient problem

We study the least gradient problem in two special cases: the natural boundary conditions are imposed on a part of the stricly convex domain; the Dirichlet type data are imposed on a boundary of a rectangle. We show the existence of solutions and study properties of solutions for special cases of the data.

Related Links: http://www.maths.usyd.edu.au/u/PDESeminar/analysis-and-pde/2016/02/