Best constants in bipolar \(L^p\) Hardy-type inequalities

DOI10.1016/j.jmaa.2023.127635zbMath1526.35192arXiv2211.11452OpenAlexW4385431268MaRDI QIDQ6058824

Teodor Rugină, Cristian Cazacu

Publication date: 1 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.11452

zbMATH Keywords

\(p\)-LaplacianHardy inequalitybipolar singular potential

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• The analysis and geometry of Hardy's inequality
• Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators
• Weighted Hardy inequalities and Ornstein-Uhlenbeck type operators perturbed by multipolar inverse square potentials
• On Schrödinger operators with multipolar inverse-square potentials
• Nonlinear Schrödinger equations with symmetric multi-polar potentials
• Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials
• Improved Multipolar Hardy Inequalities
• New estimates for the Hardy constants of multipolar Schrödinger operators
• A Picone's identity for the p-Laplacian and applications
• A unified approach to improved $L^p$ Hardy inequalities with best constants
• ASYMPTOTIC BEHAVIOUR OF MINIMIZING SEQUENCES FOR HARDY'S INEQUALITY
• Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity
• Weighted Hardy’s inequalities and Kolmogorov-type operators

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