Sobolev anisotropic inequalities with monomial weights

Joaquin Martin Pedret, Filomena Feo, MRosaria Posteraro

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

We derive some anisotropic Sobolev inequalities in R n with a monomial weight in the general setting of rearrangement invariant spaces. Our starting point is to obtain an integral oscillation inequality in multiplicative form.

Original languageEnglish
Number of pages30
JournalJournal of Mathematical Analysis and Applications
Volume505
Issue number1
DOIs
Publication statusPublished - 1 Jan 2022

Keywords

  • Anisotropic inequalities
  • Rearrangement invariant space
  • Sobolev embedding

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