Weighted Morrey Regularity for Linear Degenerate Elliptic Dirichlet Problems on Hörmander's Vector Fields

Xuewei Cui; Pengcheng Niu

doi:10.1619/fesi.55.301

Funkcialaj Ekvacioj

Print ISSN : 0532-8721

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Article overview

Weighted Morrey Regularity for Linear Degenerate Elliptic Dirichlet Problems on Hörmander's Vector Fields

Xuewei Cui, Pengcheng Niu

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Keywords: Morrey regularity, Weak solution, Degenerate elliptic, A₂ weight, Green function

JOURNAL FREE ACCESS

2012 Volume 55 Issue 2 Pages 301-315

DOI https://doi.org/10.1619/fesi.55.301

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Abstract

We obtain Morrey regularity of weak solutions to linear degenerate elliptic Dirichlet problems with A₂ weight on Hörmander's vector fields by using representation formula of weak solutions and properties of the Green function.

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