Optimal Hardy-weights for the $(p,A)$-Laplacian with a potential term
Idan Versano
TL;DR
This paper develops new optimal Hardy inequalities for elliptic Schrödinger operators with potential terms, improving the understanding of their spectral properties and functional inequalities.
Contribution
It introduces novel optimal Hardy-weights specifically tailored for the $(p,A)$-Laplacian with potential, advancing previous inequality frameworks.
Findings
Established new Hardy inequalities with optimal weights
Extended Hardy inequalities to more general elliptic operators
Provided sharper bounds for spectral analysis
Abstract
We construct new optimal Hardy-type inequalities for elliptic Schr\"odinger-type operators
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Spectral Theory in Mathematical Physics · Nonlinear Partial Differential Equations