Higher-order chain rules for tensor fields, generalized Bell polynomials, and estimates in Orlicz-Sobolev-Slobodeckij and total variation spaces

DOI10.1016/j.jmaa.2023.128005arXiv2212.11893OpenAlexW4389328467MaRDI QIDQ6190937

Martin W. Licht

Publication date: 8 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11893

zbMATH Keywords

bounded variationchain ruleMusielak-Orlicz spaceFaà di Bruno formulaBell polynomialSobolev-Slobodeckij space

Mathematics Subject Classification ID

Partitions of sets (05A18) Bell and Stirling numbers (11B73) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

• Unnamed Item
• Unnamed Item
• Lebesgue and Sobolev spaces with variable exponents
• Multidimensional Bell polynomials of higher order
• Multidimensional extension of Faa di Bruno's formula
• A short proof of the generalized Faà di Bruno's formula
• Stokes-Darcy equations. Analytic and numerical analysis
• An extension of the Bell polynomials
• On fractional Orlicz-Sobolev spaces
• Regularity for double phase variational problems
• Density properties for fractional Sobolev spaces with variable exponents
• From Ford to Faa
• The Formula of FAA Di Bruno
• The Curious History of Faa di Bruno's Formula
• Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians
• A Multivariate Faa di Bruno Formula with Applications
• On a class of nonlocal problems in new fractional Musielak-Sobolev spaces
• Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
• Prehistory of Faà   di Bruno's Formula

This page was built for publication: Higher-order chain rules for tensor fields, generalized Bell polynomials, and estimates in Orlicz-Sobolev-Slobodeckij and total variation spaces