On the solutions of a double-phase Dirichlet problem involving the 1-Laplacian

Published 13 May 2025 in math.AP | (2505.08554v1)

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.

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