A Class of Second-order Dilation Invariant Inequalities

DOI10.1007/978-3-0348-0373-1_2zbMath1282.35016arXiv1210.5705OpenAlexW1531333918MaRDI QIDQ5396564

Paolo Caldiroli, Roberta Musina

Publication date: 31 January 2014

Published in: Concentration Analysis and Applications to PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5705

zbMATH Keywords

critical dimensionsRellich inequalityweighted biharmonic operatorbest constants

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

Entire solutions for a class of fourth-order semilinear elliptic equations with weights ⋮ Radial and non radial ground states for a class of dilation invariant fourth order semilinear elliptic equations on \(\mathbb R^n\) ⋮ Weighted Sobolev spaces of radially symmetric functions

Cites Work

• Unnamed Item
• Unnamed Item
• Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
• Rellich inequalities with weights
• Weighted Sobolev spaces of radially symmetric functions
• Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
• On Caffarelli-Kohn-Nirenberg-type inequalities for the weighted biharmonic operator in cones
• Existence and stability of entire solutions to a semilinear fourth order elliptic problem
• Optimal Hardy--Rellich inequalities, maximum principle and related eigenvalue problem
• Best constants in the Hardy-Rellich inequalities and related improvements
• A simple approach to Hardy inequalities
• Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions
• On the Rellich inequality with magnetic potentials
• Optimal weighted Hardy-Rellich inequalities on H ² ∩ H ₀ ¹
• Hardy inequalities with optimal constants and remainder terms
• GENERALIZED HARDY–RELLICH INEQUALITIES IN CRITICAL DIMENSION AND ITS APPLICATIONS
• An Extension of Rellich's Inequality

This page was built for publication: A Class of Second-order Dilation Invariant Inequalities