Cătălin I. Cârstea

collaborators

3 papers

math.AP2024

Prescribed nonlinearity helps in an anisotropic Calderón-type problem

Cătălin I. Cârstea

In this paper I consider the inverse boundary value problem for a quasilinear, anisotropic, elliptic equation of the form $\nabla \cdot (γ \nabla u + ∣\nabla u ∣^{p - 2} \nabla u) = 0$ , where…

math.AP2024

The Calderón problem on Riemannian surfaces and of minimal surfaces

Cătălin I. Cârstea, Tony Liimatainen, Leo Tzou

In this paper we prove two results. The first shows that the Dirichlet-Neumann map of the operator $Δ_{g} + q$ on a Riemannian surface can determine its topological, differential, and…

math.AP2023

An inverse problem for general minimal surfaces

Cătălin I. Cârstea, Matti Lassas, Tony Liimatainen +1

In this paper we consider an inverse problem of determining a minimal surface embedded in a Riemannian manifold. We show under a topological condition that if $Σ$ is a $2$ -dimensio…