Hardy inequalities for general elliptic operators with improvements

2008/05/05 by Craig Cowan, Cowan, Craig
Mathematics · #26D10 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.0805.0610

openalex publication_date 2008/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain optimal generalized versions of Hardy inequalities, which as special cases contain Hardy's inequality and Hardy's inequality involving the distance function to the boundary of Ω. In addition we obtain neccesary and sufficient conditions to add improvements in the form of non negative potentials.

Citations

• C1 + α local regularity of weak solutions of degenerate elliptic equations

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