Rellich inequalities with weights

From MaRDI portal
Publication:453737

DOI10.1007/s00526-011-0454-3zbMath1256.26013arXiv1103.6184OpenAlexW1984045911MaRDI QIDQ453737

Roberta Musina, Paolo Caldiroli

Publication date: 27 September 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.6184




Related Items (41)

A sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinementsEntire solutions for a class of fourth-order semilinear elliptic equations with weightsA general approach to weighted \(L^{p}\) Rellich type inequalities related to Greiner operatorStability for entire radial solutions to the biharmonic equation with negative exponentsOptimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinementsSharp Rellich-Leray inequality with any radial power weight for solenoidal fieldsRellich inequalities for polyharmonic operators in plane domainsFourth order Hardy-Sobolev equations: singularity and doubly critical exponentWeighted Rellich type inequalities related to Baouendi-Grushin operatorsEntire solutions for a class of variational problems involving the biharmonic operator and Rellich potentialsClassification and non-degeneracy of positive radial solutions for a weighted fourth-order equation and its applicationSolenoidal improvement of Rellich-Hardy inequalities with power weightsHardy-type inequalities on a half-space in the Heisenberg groupRevisiting the Rellich inequalityA new critical curve for the Lane-Emden systemOn Caffarelli-Kohn-Nirenberg-type inequalities for the weighted biharmonic operator in conesEstimates of Hardy - Rellich constants for polyharmonic operators and their generalizationsExistence and stability of entire solutions to a semilinear fourth order elliptic problemCharacterizations of weighted Hardy-Rellich inequalities and their applicationsRellich inequalities in bounded domainsWeighted Sobolev spaces of radially symmetric functionsOn the best constants of Hardy inequality in \(\mathbb{R}^{n-k}\times(\mathbb{R}_+)^k\) and related improvementsA Class of Second-order Dilation Invariant InequalitiesSelected results and open problems on Hardy-Rellich and Poincaré-Friedrichs inequalitiesSharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic spaceA general approach to weighted Rellich type inequalities on Carnot groupsWeighted Calderón-Zygmund and Rellich inequalities in \(L^p\)Radially symmetric solutions to the Hénon–Lane–Emden system on the critical hyperbolaRellich type inequalities with weights in plane domainsOn the Caffarelli-Kohn-Niremberg type inequalities and related topicsOn extremal domains for integral inequalities in the Euclidean spaceUnnamed ItemOn Rellich's inequalities in Euclidean spacesThe regularity and stability of solutions to semilinear fourth-order elliptic problems with negative exponentsHardy type inequalities on domains with convex complement and uncertainty principle of HeisenbergRellich and Calderón-Zygmund inequalities for an operator with discontinuous coefficientsClassification of positive radial solutions to a weighted biharmonic equationSharp Rellich-Leray inequality for axisymmetric divergence-free vector fieldsImprovements and generalizations of two Hardy type inequalities and their applications to the Rellich type inequalitiesOn the compactness of the non-radial Sobolev spaceExistence and stability properties of entire solutions to the polyharmonic equation \((-\Delta)^{m}u=e^{u}\) for any \(m\geq 1\)



Cites Work


This page was built for publication: Rellich inequalities with weights