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A nonstandard free boundary problem arising in the shape optimization of thin torsion rods

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Publication:361780
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DOI10.4171/IFB/296zbMath1270.49044MaRDI QIDQ361780

Jean Jacques Alibert, Ilaria Fragalà, Ilaria Lucardesi, Guy Bouchitté

Publication date: 19 August 2013

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)


zbMATH Keywords

convexityshape optimizationfree boundary problemsCheeger setsthin torsion rods


Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational problems in a geometric measure-theoretic setting (49Q20) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)


Related Items (7)

Perspective functions: properties, constructions, and examples ⋮ Global Lipschitz continuity for minima of degenerate problems ⋮ On a degenerate problem in the calculus of variations ⋮ A uniqueness result for a non-strictly convex problem in the calculus of variations ⋮ Shape derivatives for minima of integral functionals ⋮ A Variational Method for Second Order Shape Derivatives ⋮ Classical Optimal Design in Two-Phase Conductivity Problems







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