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math.AP2023★ 1 cited
Scalar minimizers with maximal singular sets and lack of Meyers property
Anna Balci, Lars Diening, Mikhail Surnachev
We present a general procedure to construct examples of convex scalar variational problems which admit a minimizers with large singular sets. The dimension of the set of singularit…
math.NA2023
Numerical approximation of variational problems with orthotropic growth
Anna Kh. Balci, Lars Diening, Abner J. Salgado
We consider the numerical approximation of variational problems with orthotropic growth, that is those where the integrand depends strongly on the coordinate directions with possib…
math.AP2023
Global regularity for nonlinear systems with symmetric gradients
Linus Behn, Lars Diening
We study global regularity of nonlinear systems of partial differential equations depending on the symmetric part of the gradient with Dirichlet boundary conditions. These systems…