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math.AP2020
A generalized Montel theorem for a class of first order elliptic equations with measurable coefficients
Erik Duse
In this paper we prove a generalization of Montel's theorem for a class of first order elliptic equations with measurable coefficients involving Hodge-Dirac operators. We then appl…
math.AP2020★ 1 cited
Second Order Linear Elliptic Equations and Hodge-Dirac Operators
Erik Duse
In this paper we show how a second order scalar uniformly elliptic equation on divergence form with measurable coefficients and Dirichlet boundary conditions can be transformed int…
math.AP2020
Dimer Models and Conformal Structures
Kari Astala, Erik Duse, István Prause +1
In this work we study the variational problem associated to dimer models, a class of models from integrable probability and statistical mechanics in dimension two which have been t…