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Optimal measures for elliptic problems

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Publication:661072
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DOI10.1007/s10231-005-0151-yzbMath1232.49049OpenAlexW1982521809MaRDI QIDQ661072

Nicolas Varchon, Hakima Zoubairi, Giusseppe Buttazzo

Publication date: 18 February 2012

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-005-0151-y


zbMATH Keywords

shape optimizationgamma-convergencemeasure theory


Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Variational methods for second-order elliptic equations (35J20)


Related Items

Robust optimal shape design for an elliptic PDE with uncertainty in its input data ⋮ A new one‐shot pointwise source reconstruction method ⋮ Optimal potentials for Schrödinger operators ⋮ Optimal measures for the fundamental gap of Schrödinger operators



Cites Work

  • Wiener's criterion and \(\Gamma\)-convergence
  • Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions
  • Variational methods in shape optimization problems
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