@article{5fc48416ed6a4abd8824b8d2d29b4a20,
title = "An inverse problem for the Riemannian minimal surface equation",
abstract = "In this paper we consider determining a minimal surface embedded in a Riemannian manifold Σ×R. We show that if Σ is a two dimensional Riemannian manifold with boundary, then the knowledge of the associated Dirichlet-to-Neumann map for the minimal surface equation determine Σ up to an isometry.",
keywords = "Higher order linearization, Inverse problems, Minimal surface, Quasilinear elliptic equation, Riemannian manifold, Riemannian surface",
author = "C{\^a}rstea, {C{\u a}t{\u a}lin I.} and Matti Lassas and Tony Liimatainen and Lauri Oksanen",
note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",
year = "2024",
month = jan,
day = "15",
doi = "10.1016/j.jde.2023.10.039",
language = "English",
volume = "379",
pages = "626--648",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
}