MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Regularity and optimal design results for elastic membranes

Irene Fonseca


The effective energy of a mixture of two elastic materials in a thin film is characterized using Gamma-limit techniques. For cylindrical shaped inclusions it is shown that 3D-2D asymptotics and optimal design commute from a variational viewpoint. Regularity of local minimizers for the resulting design is addressed.

MSC Codes:
35J20, 35E99, 35M10, 49J45, 49N60, 49Q20, 73C50, 73M25
gamma-limit, relaxation, thin films, image segmentation, morrey spaces, bounded variation

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1998 Repository Open Access
Irene Fonseca

Regularity and optimal design results for elastic membranes