On the isoperimetric problem with perimeter density \(r^p\)

DOI10.3934/cpaa.2018129zbMath1398.49038arXiv1706.09619OpenAlexW2805091385MaRDI QIDQ1660083

Gyula Csató

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09619

zbMATH Keywords

first variationstarshaped domainsradial weightcase of equalityisoperimetric problem with density

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

\(L_p\) centroid bodies with respect to weights \(|x|^{\ell}\) ⋮ The ε-ε property and the boundedness of isoperimetric sets with different monomial weights ⋮ Some isoperimetric inequalities in the plane with radial power weights ⋮ The Cheeger problem in abstract measure spaces ⋮ Extremals for the singular Moser-Trudinger inequality via n-harmonic transplantation ⋮ Some weighted isoperimetric inequalities in quantitative form ⋮ Unnamed Item ⋮ On the existence and nonexistence of isoperimetric inequalities with different monomial weights

Cites Work

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