Hölder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems | Zendy

Yan DOGN | Zendy; Xuewei Cui | Zendy

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Hölder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems

Author(s) -

Yan DOGN,

Xuewei Cui

Publication year - 2014

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1301-10

Subject(s) - mathematics , degenerate energy levels , diagonal , divergence (linguistics) , hölder condition , mathematical analysis , pure mathematics , class (philosophy) , order (exchange) , geometry , physics , linguistics , philosophy , finance , quantum mechanics , artificial intelligence , computer science , economics

In this paper, we establish Holder regularity for weak solutions of a class of diagonal divergence quasilinear degenerate elliptic systems of Hormander's vector fields when the coefficients belong to the class of VMOX functions with respect to x and uniformly with respect to u, and the lower order terms satisfy a natural growth condition.

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