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Explore optimal design problems and their applications to thin structures in this 49-minute conference talk by Elvira Zappale at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into various results, primarily obtained through collaborations with Ana Cristina Barroso and José Matias, addressing optimal design challenges in both linear and nonlinear elasticity frameworks. Examine models featuring hyperelastic energy density with nonstandard growth, and investigate the specific case of thin structures. Gain insights from this presentation, which was part of the Workshop on "New perspective on Shape and Topology Optimization" held at ESI in December 2023.
