Subelliptic Cordes estimates-Reference-Cited by-同舟云学术

Subelliptic Cordes estimates

Published:2004-11-19 Issue:4 Volume:133 Page:1047-1056
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Domokos András,Manfredi Juan

Abstract

We prove Cordes type estimates for subelliptic linear partial differential operators in non-divergence form with measurable coefficients in the Heisenberg group. As an application we establish interior horizontal W 2 , 2 W^{2,2} -regularity for p-harmonic functions in the Heisenberg group H 1 {\mathbb H}^1 for the range 17 − 1 2 ≤ p > 5 + 5 2 \frac {\sqrt {17}-1}{2} \leq p > \frac {5+\sqrt {5}}{2} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-04/S0002-9939-04-07819-0/S0002-9939-04-07819-0.pdf

Reference11 articles.

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4. A. Domokos and Juan J. Manfredi, 𝐶^{1,𝛼}-regularity for p-harmonic functions in the Heisenberg group for 𝑝 near 2, to appear in The 𝑝-harmonic equation and recent advances in analysis, Contemporary Mathematics, editor Pietro Poggi-Corradini.

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