Asymmetric affine Poincaré-Sobolev-Wirtinger inequalities on \(BV (\varOmega)\) and characterization of extremizers in one-dimension

DOI10.1016/J.NA.2024.113673MaRDI QIDQ6650532

Marcos Montenegro, Raul Fernandes Horta

Publication date: 9 December 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

symmetrizationextremal functionbounded variation functionaffine Poincaré inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

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