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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.AP2023
The Lavrentiev phenomenon in calculus of variations with differential forms
Anna Kh. Balci, Mikhail Surnachev
In this article we study convex non-autonomous variational problems with differential forms and corresponding function spaces. We introduce a general framework for constructing cou…
math.NA2023
Error analysis for a Crouzeix-Raviart approximation of the variable exponent Dirichlet problem
Anna Kh. Balci, Alex Kaltenbach
In the present paper, we examine a Crouzeix-Raviart approximation of the -Dirichlet problem. We derive a error estimate, , a best-approxi…