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Power Law Approximation Results for Optimal Design Problems

  • Giuliano Gargiulo,
  • Valerii Samoilenko,
  • Elvira Zappale

摘要

In this note, we show some results related to power law approximations for optimal design and damaging problems. The asymptotics, via \(\Gamma \) -convergence, leads to supremal functionals whose densities are related to the original ones via suitable asymptotic minimum problems. Some properties of these limiting energy densities are also proven.