On the solutions of a double-phase Dirichlet problem involving the 1-Laplacian
Analysis of PDEs
2025-05-14 v1
Abstract
In this paper we study a double-phase problem involving the 1-Laplacian with non-homogeneous Dirichlet boundary conditions and show the existence and uniqueness of a solution in a suitable weak sense. We also provide a variational characterization of this solution via the corresponding minimization problem.
Keywords
Cite
@article{arxiv.2505.08554,
title = {On the solutions of a double-phase Dirichlet problem involving the 1-Laplacian},
author = {Alexandros Matsoukas and Nikos Yannakakis},
journal= {arXiv preprint arXiv:2505.08554},
year = {2025}
}
Comments
13 pages