The refinement and generalization of Hardy's inequality in Sobolev space
type: Item
instance of: scholarly article
title: The refinement and generalization of Hardy's inequality in Sobolev space
zbMATH Open document ID: 1498.26071
author: Xiaomin Xue
author: Fushan Li
published in: Journal of Inequalities and Applications
publication date: 2021-12-15T00:00:00Z
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 26E60
zbMATH DE Number: 7446046
zbMATH Keywords: Hardy inequality
zbMATH Keywords: integrate by part
zbMATH Keywords: Cauchy inequality
zbMATH Keywords: divergence theorem
Wikidata QID: Q59805942
MaRDI profile type: Publication
full work available at URL: s13660-018-1922-5
OpenAlex ID: W2903351810
cites work: Q4434430
cites work: Schur convexity and Hadamard's inequality
cites work: The Schur multiplicative and harmonic convexities of the complete symmetric function
cites work: Optimal Lehmer mean bounds for the Toader mean
cites work: Optimal combinations bounds of root-square and arithmetic means for Toader mean
cites work: The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications
cites work: A sharpened version of Hardy's inequality for parameter \(p=5/4\)
cites work: GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS
cites work: Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients
cites work: Q5189317
cites work: Stability of steady-state solutions to Navier-Stokes-Poisson systems
cites work: Q5812325
cites work: Q3059725
cites work: Functional Equations and Inequalities with Applications
cites work: Global existence and uniqueness of weak solution to nonlinear viscoelastic full marguerre-von kármán shallow shell equations
cites work: Limit behavior of the solution to nonlinear viscoelastic Marguerre-von Kármán shallow shell system
cites work: Uniform decay rates for nonlinear viscoelastic Marguerre-von Kármán equations
cites work: Uniform stability of the solution for a memory-type elasticity system with nonhomogeneous boundary control condition
cites work: GENERAL ENERGY DECAY FOR A DEGENERATE VISCOELASTIC PETROVSKY-TYPE PLATE EQUATION WITH BOUNDARY FEEDBACK
cites work: Blow-up of solution for a nonlinear Petrovsky type equation with memory
cites work: Weighted integral inequality and applications in general energy decay estimate for a variable density wave equation with memory
cites work: Uniform energy decay rates for nonlinear viscoelastic wave equation with nonlocal boundary damping
cites work: Stability of periodic steady-state solutions to a non-isentropic Euler-Maxwell system
cites work: Convergence of a non-isentropic Euler-Poisson system for all time
cites work: Q5487883
cites work: Nonlinear programming and variational inequality problems. A unified approach
cites work: Inequalities in Analysis and Probability
cites work: Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
cites work: Analytic inequalities and their applications in PDEs
cites work: A variational inequality approach to free boundary problems with applications in mould filling
cites work: Harnack Inequalities for Stochastic Partial Differential Equations
cites work: A power mean inequality for the Grötzsch ring function
cites work: Landen inequalities for a class of hypergeometric functions with applications
cites work: An optimal power mean inequality for the complete elliptic integrals
cites work: Inequalities and infinite product formula for Ramanujan generalized modular equation function
cites work: Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
cites work: An optimal double inequality between geometric and identric means
cites work: On a strengthened version of Hardy's inequality
cites work: On approximating the error function
cites work: On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
cites work: Sharp Gautschi inequality for parameter 0<p<1 with applications
cites work: Extensions of Hardy inequality
cites work: Quadratic transformation inequalities for Gaussian hypergeometric function
DOI: 10.1186/S13660-018-1922-5
description: scientific article; zbMATH DE number 7446046