101 citations · 269 across the 12 of their papers we have counts for
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math.AP2022★ 4 cited
Minimal Energy for Geometrically Nonlinear Elastic Inclusions in Two Dimensions
Ibrokhimbek Akramov, Hans Knüpfer, Martin Kružík +1
We are concerned with a variant of the isoperimetric problem, which in our setting arises in a geometrically nonlinear two-well problem in elasticity. More precisely, we investigat…
math.AP2022
-limit for a sharp interface model related to pattern formation on biomembranes
Denis Brazke, Hans Knüpfer, Anna Marciniak-Czochra
We derive a macroscopic limit for a sharp interface version of a model proposed in [29] to investigate pattern formation due to competition of chemical and mechanical forces in bio…
math.AP2022★ 1 cited
Asymptotic shape of isolated magnetic domains
Hans Knüpfer, Dominik Stantejsky
We investigate the energy of an isolated magnetized domain for . In non-dimensionalized variables, the energy given by $$ \mathcal{E}(Ω) \ = \ \int_{…