On certain generalizations of the Gagliardo-Nirenberg inequality and their applications to capacitary estimates and isoperimetric inequalities

DOI10.1007/s11784-013-0106-7zbMath1278.46030OpenAlexW2163824801WikidataQ59303318 ScholiaQ59303318MaRDI QIDQ360553

Jan Peszek, Agnieszka Kałamajska

Publication date: 27 August 2013

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-013-0106-7

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 (4)

Discrete Cucker--Smale Flocking Model with a Weakly Singular Weight ⋮ Optimal Gagliardo-Nirenberg interpolation inequality for rearrangement invariant spaces ⋮ On certain variant of strongly nonlinear multidimensional interpolation inequality ⋮ On one variant of strongly nonlinear Gagliardo-Nirenberg inequality involving Laplace operator with application to nonlinear elliptic problems

Cites Work

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• Indices for the Orlicz spaces
• On some nonlinear extensions of the Gagliardo-Nirenberg inequality with applications to nonlinear eigenvalue problems
• Interpolation inequalities for derivatives in Orlicz spaces
• Interpolation of Orlicz spaces

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