A class of shape optimization problems for some nonlocal operators

DOI10.1515/acv-2016-0065zbMath1401.49061arXiv1612.08717OpenAlexW2613021450MaRDI QIDQ1791521

Antonella Ritorto, Julián Fernández Bonder, Ariel Martin Salort

Publication date: 10 October 2018

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08717

zbMATH Keywords

shape optimizationfractional partial differential equations

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Fractional partial differential equations (35R11)

Related Items (6)

A vectorial problem with thin free boundary ⋮ Compactness and dichotomy in nonlocal shape optimization ⋮ The Nonlocal Kelvin Principle and the Dual Approach to Nonlocal Control in the Conduction Coefficients ⋮ Nonlocal Control in the Conduction Coefficients: Well-Posedness and Convergence to the Local Limit ⋮ Regularity of shape optimizers for some spectral fractional problems ⋮ Regularity results for segregated configurations involving fractional Laplacian

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