On minimal decay at infinity of Hardy-weights

DOI10.1142/S0219199719500469WikidataQ114072663 ScholiaQ114072663MaRDI QIDQ3299018

Yehuda Pinchover, Hynek Kovařík

Publication date: 17 July 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01849

zbMATH Keywords

positive solutionsground stateHardy inequalityminimal growth

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Green's functions for elliptic equations (35J08)

Related Items (8)

Optimal Hardy-weights for the (p, A)-Laplacian with a potential term ⋮ Optimal Hardy inequalities for Schrödinger operators based on symmetric stable processes ⋮ Optimal Hardy‐weights for elliptic operators with mixed boundary conditions ⋮ Optimal Hardy inequality for fractional Laplacians on the integers ⋮ Positive solutions of the \(\mathcal{A}\)-Laplace equation with a potential ⋮ Optimal Hardy weights on the Euclidean lattice ⋮ Optimal Hardy-type inequalities for Schrödinger forms ⋮ Poincaré and Hardy Inequalities on Homogeneous Trees

Cites Work

• Unnamed Item
• Unnamed Item
• On positive solutions of the \((p,A)\)-Laplacian with potential in Morrey space
• A spectral result for Hardy inequalities
• The analysis and geometry of Hardy's inequality
• Heat kernel estimates for Schrödinger operators on exterior domains with Robin boundary conditions
• Optimal \(L^{p}\) Hardy-type inequalities
• Maximum and anti-maximum principles and eigenfunctions estimates via perturbation theory of positive solutions of elliptic equations
• Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon
• On the best constant for Hardy’s inequality in $\mathbb {R}^n$
• Series expansion for L^p Hardy inequalities
• A unified approach to improved $L^p$ Hardy inequalities with best constants
• Weighted Inequalities of Hardy Type
• $L^p$ Hardy inequality on $C^{1,\gamma}$ domains

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