GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS | Zendy

Guangwei Du | Zendy; Fushan Li | Zendy

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GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS

Author(s) -

Guangwei Du,

Fushan Li

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1021

Subject(s) - mathematics , mathematical analysis , obstacle , domain (mathematical analysis) , vector field , complement (music) , pure mathematics , physics , mathematical physics , geometry , chemistry , geography , biochemistry , complementation , gene , phenotype , archaeology

In this paper we consider the double obstacle problems associated with nonlinear subelliptic equation XA(x, u,Xu) +B(x, u,Xu) = 0, x ∈ Ω, where X = (X1, . . . , Xm) is a system of smooth vector fields defined in R 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.

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