Estimates of first and second order shape derivatives in nonsmooth multidimensional domains and applications

DOI10.1016/j.jfa.2016.02.013zbMath1345.49050arXiv1505.05787OpenAlexW2109255335MaRDI QIDQ5965166

Arian Novruzi, Jimmy Lamboley, Michel Pierre

Publication date: 2 March 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05787

zbMATH Keywords

shape optimizationnonsmooth domainsconvexity constraintsshape derivative

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (7)

On the polygonal Faber-Krahn inequality ⋮ Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains ⋮ Optimization of the first Dirichlet Laplacian eigenvalue with respect to a union of balls ⋮ On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint ⋮ Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains ⋮ A Shape Optimization Approach to the Problem of Covering a Two-Dimensional Region with Minimum-Radius Identical Balls ⋮ Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue

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