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math.AP2020
Bifurcation of elastic curves with modulated stiffness
Katharina Brazda, Gaspard Jankowiak, Christian Schmeiser +1
We investigate the equilibrium configurations of closed planar elastic curves of fixed length, whose stiffness, also known as the bending rigidity, depends on an additional density…
math.AP2019
Existence of varifold minimizers for the multiphase Canham-Helfrich functional
Katharina Brazda, Luca Lussardi, Ulisse Stefanelli
We address the minimization of the Canham-Helfrich functional in presence of multiple phases. The problem is inspired by the modelization of heterogeneous biological membranes, whi…