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Generic Ill-posedness of the Energy-Momentum Equations and Differential Inclusions
Erik Duse
We show that the energy-momentum equations arising from inner variations whose Lagrangian satisfies a generic symmetry condition are generically ill-posed. This is done by proving…
Conformal Structure of Autonomous Leray-Lions Equations in the Plane and Linearisation by Hodograph Transform
Erik Duse
We give sufficient conditions for when an autonomous elliptic Leray-Lions equation in the plane has a conformal structure. This allows the Leray-Lions equation to be linearised in…
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…
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…
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…