3 papers
math.FA2020
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Simone Di Marino, Danka Lučić, Enrico Pasqualetto
We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, i…
math.MG2019
Sharp estimate on the inner distance in planar domains
Danka Lučić, Enrico Pasqualetto, Tapio Rajala
We show that the inner distance inside a bounded planar domain is at most the one-dimensional Hausdorff measure of the boundary of the domain. We prove this sharp result by establi…
math.AP2018
Dimension reduction for thin films with transversally varying prestrain: the oscillatory and the non-oscillatory case
Marta Lewicka, Danka Lučić
We study the non-Euclidean (incompatible) elastic energy functionals in the description of prestressed thin films, at their singular limits (-limits) as in the film's t…