A simple approach to Hardy inequalities

From MaRDI portal
Publication:1585642

DOI10.1007/BF02676404zbMath0964.26010MaRDI QIDQ1585642

Enzo Mitidieri

Publication date: 16 November 2000

Published in: Mathematical Notes (Search for Journal in Brave)




Related Items (87)

Improved \(L^p\)-Poincaré inequalities on the hyperbolic spaceA sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinementsNonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalenceA weak solution for a \((p(x),q(x))\)-Laplacian elliptic problem with a singular termHardy-type inequalities derived from \(p\)-harmonic problemsImproved higher order Poincaré inequalities on the hyperbolic space via Hardy-type remainder termsElliptic operators with unbounded diffusion coefficients perturbed by inverse square potentials in \(L^p\)-spacesOptimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinementsDrift-diffusion equations on domains in \(\mathbb{R}^d\): essential self-adjointness and stochastic completenessGENERALIZED HARDY–RELLICH INEQUALITIES IN CRITICAL DIMENSION AND ITS APPLICATIONSUnnamed ItemWeighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentialsExistence and multiplicity of solutions for a singular problem involving the \(p\)-biharmonic operator in \(\mathbb{R}^N\)Solutions for a singular elliptic problem involving the p(x)-LaplacianInfinitely many solutions for a fourth order singular elliptic problemRellich type inequalities related to Grushin type operators and Greiner type operatorsSOME -HARDY AND -RELLICH TYPE INEQUALITIES WITH REMAINDER TERMSInfinitely many solutions for \(p\)-harmonic equation with singular termThe \(s\)-polyharmonic extension problem and higher-order fractional LaplaciansUnnamed ItemElliptic operators with unbounded diffusion and singular lower order terms in \(L^p\)-spacesMultiple solutions for a fourth-order elliptic equation involving singularity\(p(x)\)-biharmonic operator involving the \(p(x)\)-Hardy inequalityFourth order Hardy-Sobolev equations: singularity and doubly critical exponentGeometric Hardy's inequalities with general distance functionsHardy-Sobolev type inequality and supercritical extremal problemExistence and nonexistence of positive solutions of \(p\)-Kolmogorov equations perturbed by a Hardy potentialConformal Killing vector fields and Rellich type identities on Riemannian manifolds. IIHardy inequality for domains with a geometric boundary condition and applicationsSolutions to a \((p_1, \ldots ,p_n)\)-Laplacian problem with Hardy potentialsImproved \(L^p\)-Hardy and \(L^p\)-Rellich inequalities with magnetic fieldsA class of weighted Hardy type inequalities in \(\mathbb{R}^N\)A weighted Hardy inequality and nonexistence of positive solutionsRemarks on a Hardy-Sobolev inequality.Scaling invariant Hardy type inequalities with non-standard remainder termsHardy and Hardy–Rellich type inequalities with Bessel pairsOptimal Sobolev and Hardy-Rellich constants under Navier boundary conditionsSobolev spaces of symmetric functions and applicationsUnnamed ItemExistence and stability of entire solutions to a semilinear fourth order elliptic problemEntire solutions for a class of elliptic equations involving \(p\)-biharmonic operator and Rellich potentialsExistence, non-existence and regularity of radial ground states for \(p\)-Laplacian equations with singular weightsRemarks on a limiting case of Hardy type inequalitiesRellich inequalities in bounded domainsOn fractional Laplacians – 3Weighted Sobolev spaces of radially symmetric functionsA Class of Second-order Dilation Invariant InequalitiesHardy type inequalities in \(L^{p}\) with sharp remaindersPoincaré and Hardy Inequalities on Homogeneous TreesSharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic spaceHardy inequalities resulted from nonlinear problems dealing with \(A\)-LaplacianWeighted Calderón-Zygmund and Rellich inequalities in \(L^p\)On existence, non-existence and blow-up results for a singular semilinear Laplacian problemHardy-Rellich inequalities with boundary remainder terms and applicationsMultiple critical points for nondifferentiable functionals involving Hardy potentialsOn a precise scaling to Caffarelli-Kohn-Nirenberg inequalityA Caffarelli-Kohn-Nirenberg type inequality on Riemannian manifoldsOn the Caffarelli-Kohn-Niremberg type inequalities and related topicsEigenvalues for a class of singular problems involving \(p(x)\)-biharmonic operator and \(q(x)\)-Hardy potentialExistence of stable solutions to \((-\Delta)^m u = e^u\) in \(\mathbb{R}^N\) with \(m\geq 3\) and \(N>2m\)Dualities in comparison theorems and bundle-valued generalized harmonic forms on noncompact manifoldsA simple proof of Hardy's inequality in a limiting caseEquivalent and attained version of Hardy's inequality in \(\mathbb{R}^n\)Rellich and Calderón-Zygmund inequalities for an operator with discontinuous coefficientsHardy inequalities related to Grushin type operatorsSemilinear biharmonic problems with a singular termNew sharp Hardy and Rellich type inequalities on Cartan–Hadamard manifolds and their improvementsHardy inequalities on Riemannian manifolds and applicationsOn higher order Poincaré inequalities with radial derivatives and Hardy improvements on the hyperbolic spaceThe homogeneous Hénon-Lane-Emden systemUnnamed ItemOn some higher order Hardy-Rellich type inequalities with boundary termsWeighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial dataHardy inequalities with optimal constants and remainder termsGround state solution of critical \(p\)-biharmonic equation involving Hardy potentialAn exact estimate result for \(p\)-biharmonic equations with Hardy potential and negative exponentsFactorizations and Hardy's type identities and inequalities on upper half spacesLocal and non-local improved Hardy inequalities with weightsHardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifoldsQualitative properties of Hénon type equations with exponential nonlinearityCylindrical Hardy type inequalities with Bessel pairsImprovements and generalizations of two Hardy type inequalities and their applications to the Rellich type inequalitiesCritical behavior for the polyharmonic operator with Hardy potentialOn the Sobolev and Hardy constants for the fractional Navier LaplacianAn invitation to modern group analysis of differential equationsExistence and stability properties of entire solutions to the polyharmonic equation \((-\Delta)^{m}u=e^{u}\) for any \(m\geq 1\)Entire solutions of certain fourth order elliptic problems and related inequalities



Cites Work


This page was built for publication: A simple approach to Hardy inequalities