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

In this paper, we establish Hölder regularity for weak solutions of a class of diagonal divergence quasilinear degenerate elliptic systems of Hörmander'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.

Anahtar Kelimeler:

Quasilinear degenerate elliptic system, Hölder regularity, Hörmander's vector fields, VMOX function, natural growth

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

Keywords:

Quasilinear degenerate elliptic system, Hölder regularity, Hörmander's vector fields, VMOX function, natural growth,

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