arXiv Analytics

Sign in

arXiv:1605.00035 [math.AP]AbstractReferencesReviewsResources

Special cases of the planar least gradient problem

Wojciech Górny, Piotr Rybka, Ahmad Sabra

Published 2016-04-29Version 1

We study two special cases of the planar least gradient problem. In the first one, the boundary conditions are imposed on a part of the 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 data.

Categories: math.AP
Related articles: Most relevant | Search more
arXiv:1401.1534 [math.AP] (Published 2014-01-07)
Global Regularity vs. Finite-Time Singularities: Some Paradigms on the Effect of Boundary Conditions and Certain Perturbations
arXiv:2001.09808 [math.AP] (Published 2020-01-23)
Exact solutions of the boundary-value problems for the Helmholtz equation in a layer with polynomials in the right-hand sides of the equation and of the boundary conditions
arXiv:1909.12194 [math.AP] (Published 2019-09-26)
Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions

Links

Toolbox