On certain variant of strongly nonlinear multidimensional interpolation inequality

DOI10.12775/TMNA.2017.050zbMath1414.46024OpenAlexW2792668716WikidataQ115180995 ScholiaQ115180995MaRDI QIDQ1728903

Tomasz Choczewski, Agnieszka Kałamajska

Publication date: 26 February 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1524535226

zbMATH Keywords

Sobolev spacesinterpolation inequalitiesmultiplicative 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 (2)

The Douglas formula in \(L^p\) ⋮ On one variant of strongly nonlinear Gagliardo-Nirenberg inequality involving Laplace operator with application to nonlinear elliptic problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On certain generalizations of the Gagliardo-Nirenberg inequality and their applications to capacitary estimates and isoperimetric inequalities
• Strongly nonlinear Gagliardo-Nirenberg inequality in Orlicz spaces and Boyd indices
• Ulteriori proprieta di alcune classi di funzioni in piu variabili
• On some nonlinear extensions of the Gagliardo-Nirenberg inequality with applications to nonlinear eigenvalue problems
• Discrete Cucker--Smale Flocking Model with a Weakly Singular Weight
• Sur une inégalité
• Interpolation inequalities for derivatives in Orlicz spaces
• Some regularity results to the generalized Emden–Fowler equation with irregular data
• First and second order Opial inequalities
• Multiple-antennas and isotropically random unitary inputs: the received signal density in closed form

This page was built for publication: On certain variant of strongly nonlinear multidimensional interpolation inequality