Weighted Poincaré Inequalities for Hörmander Vector Fields and local regularity for a class of degenerate elliptic equations

B. Franchi (), G. Lu () and R. L. Wheeden ()
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B. Franchi: Università di Bologna, Dipartimento di Matematica
G. Lu: Wright State University, Department of Mathematics
R. L. Wheeden: Rutgers University, Department of Mathematics

A chapter in Potential Theory and Degenerate Partial Differential Operators, 1995, pp 361-375 from Springer

Abstract: Abstract In this note we state weighted Poincaré inequalities associated with a family of vector fields satisfying Hörmander rank condition. Then, applications are given to relative isoperimetric inequalities and to local regularity (Harnack’s inequality) for a class of degenerate elliptic equations with measurable coefficients.

Keywords: Hörmander vector fields; Poincaré inequality; relative isoperimetric inequality; Harnack’s inequality (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-011-0085-4_5

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DOI: 10.1007/978-94-011-0085-4_5

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