On a Variant of the Gagliardo–Nirenberg Inequality Deduced from the Hardy Inequality

DOI10.4064/ba59-2-4zbMath1234.26046arXiv0910.5850OpenAlexW2085676231WikidataQ115181013 ScholiaQ115181013MaRDI QIDQ3100953

Katarzyna Pietruska-Pałuba, Agnieszka Kałamajska

Publication date: 22 November 2011

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5850

zbMATH Keywords

Orlicz-Sobolev spacesHardy inequalitiesGagliardo-Nirenberg inequalitiesnondoubling measure

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) Real-valued functions in general topology (54C30) Other special methods applied to PDEs (35A25)

Related Items (9)

Hardy-type inequalities derived from \(p\)-harmonic problems ⋮ New Orlicz variants of Hardy type inequalities with power, power-logarithmic, and power-exponential weights ⋮ Functional inequalities and applications to doubly nonlinear diffusion equations ⋮ Orlicz-space Hardy and Landau–Kolmogorov inequalities for Gaussian measures ⋮ On equivalent conditions for the validity of Poincaré inequality on weighted Sobolev space with applications to the solvability of degenerated PDEs involving \(p\)-Laplacian ⋮ Hardy inequalities resulted from nonlinear problems dealing with \(A\)-Laplacian ⋮ Optimal Hardy inequality for the fractional Laplacian on \(L^p\) ⋮ Caccioppoli-type estimates and Hardy-type inequalities derived from weighted \(p\)-harmonic problems ⋮ Hardy inequalities and non-explosion results for semigroups

This page was built for publication: On a Variant of the Gagliardo–Nirenberg Inequality Deduced from the Hardy Inequality