Strongly nonlinear Gagliardo-Nirenberg inequality in Orlicz spaces and Boyd indices

DOI10.4171/RLM/755zbMath1372.46024OpenAlexW2592723965WikidataQ115181000 ScholiaQ115181000MaRDI QIDQ524840

Alberto Fiorenza, Claudia Capone, Agnieszka Kałamajska

Publication date: 26 April 2017

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/755

zbMATH Keywords

isoperimetric inequalitiescapacitiesGagliardo-Nirenberg inequalitiesinterpolation inequalities

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)

Related Items (7)

Interpolation between Hölder and Lebesgue spaces with applications ⋮ A regularity result for a class of elliptic equations with lower order terms ⋮ On certain variant of strongly nonlinear multidimensional interpolation inequality ⋮ An higher integrability result for the second derivatives of the solutions to a class of elliptic PDE's ⋮ Detailed proof of classical Gagliardo-Nirenberg interpolation inequality with historical remarks ⋮ On the regularity of solutions to a class of degenerate PDE's with lower order terms ⋮ On one variant of strongly nonlinear Gagliardo-Nirenberg inequality involving Laplace operator with application to nonlinear elliptic problems

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