Shape optimization problems for functionals with a boundary integral

zbMath1466.49034arXiv2007.11317MaRDI QIDQ4992565

Francesco Paolo Maiale, Giusseppe Buttazzo

Publication date: 9 June 2021

Full work available at URL: https://arxiv.org/abs/2007.11317

zbMATH Keywords

integral functionalsshape optimizationRobin conditionfinite perimeter

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

A free boundary problem for the \(p\)-Laplacian with nonlinear boundary conditions

Cites Work

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• Shape optimization problems with Robin conditions on the free boundary
• Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach
• The Robin-Laplacian problem on varying domains
• Optimal shapes for general integral functionals
• Existence theory for a new class of variational problems
• Existence theorem for a minimum problem with free discontinuity set
• On the torsion function with Robin or Dirichlet boundary conditions
• On the lower semicontinuity of quasiconvex integrals in SBV(Ω, Rk)
• A density result in SBV with respect to non-isotropic energies

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