GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS

Guangwei Du; Fushan Li

doi:10.11948/2018.1021

2018 Volume 8 Issue 3

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Guangwei Du, Fushan Li. GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 1021-1032. doi: 10.11948/2018.1021

Citation:

Guangwei Du, Fushan Li. GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 1021-1032. doi: 10.11948/2018.1021

GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS

School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, China

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Abstract

Abstract

In this paper we consider the double obstacle problems associated with nonlinear subelliptic equation X^∗A(x,u,Xu) + B(x,u,Xu)=0,x ∈ Ω,where X=(X₁;…,X_m) is a system of smooth vector fields defined in Rn satisfying Hörmander's condition. The global higher integrability for the gradients of the solutions is obtained under a capacitary assumption on the complement of the domain Ω.
- Global higher integrability /
- subelliptic equation /
- double obstacle problems
MSC: 35H20;35J20

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