69 citations · 371 across the 39 of their papers we have counts for
42 papers
The Solution to Agmon's Conjecture for the polylaplacian
Artur Andrade, Dorina Mitrea, Irina Mitrea +1
In his 1957 paper on the Dirichlet problem for higher-order elliptic equations in the plane, Agmon conjectured that there should exist higher-order equations in dimensions greater…
Characterizations of Lyapunov domains in terms of Riesz transforms and the Plemelj-Privalov theorem
Juan José Marín, José María Martell, Dorina Mitrea +1
We prove several characterizations of -domains (aka Lyapunov domains), where is a growth function satisfying natural assumptions. For example, given an Ahlfo…
The Green Function for Elliptic Systems in the Upper-Half Space
Martin Dindoš, Dorina Mitrea, Irina Mitrea +1
Let be a second-order, homogeneous, constant (complex) coefficient elliptic system in . The goal of this article is provide a qualitative and quantitative study…
Riesz Transform Characterizations of and {\rm BMO} on Ahlfors Regular Sets with Small Oscillations
Dorina Mitrea, Irina Mitrea, Marius Mitrea
We employ the Riesz transform as a means for describing geometric properties of sets in , and study the extent to which they can be used to characterize function sp…
Sharp Boundary Trace Theory and Schrödinger Operators on Bounded Lipschitz Domains
Jussi Behrndt, Fritz Gesztesy, Marius Mitrea
We develop a sharp boundary trace theory in arbitrary bounded Lipschitz domains which, in contrast to classical results, allows "forbidden" endpoints and permits the consideration…
Fatou-Type Theorems and Boundary Value Problems for Elliptic Systems in the Upper Half-Space
José María Martell, Dorina Mitrea, Irina Mitrea +1
We survey recent progress in a program aimed at proving general Fatou-type results and establishing the well-posedness of a variety of boundary value problems in the upper half-spa…