Estimates in Morrey Spaces and Holder Continuity for Weak Solutions to Degenerate Elliptic Systems

作者：Dong, Yan; Niu, Pengcheng^*

来源：Manuscripta Mathematica, 2012, 138(3-4): 419-437.

DOI：10.1007/s00229-011-0498-x

• EQUATIONS
• OPERATORS
• BOUNDARY

In this paper, we establish gradient estimates in Morrey spaces and Holder continuity for weak solutions of the following degenerate elliptic system
-X-alpha*(a(ij)(alpha beta) (x)X(beta)u(j)) = g(i) - X-alpha*f(i)(alpha) (x),
where X-1, . . . X-q, are real smooth vector fields satisfying Hormander's condition, coefficients a(ij)(alpha beta) epsilon V M O-X boolean AND L-infinity (Omega), alpha, beta = 1, 2, ... , q, i, j = 1, 2, ... , N, X-alpha* is the transposed vector field of X-alpha.

• 出版日期2012-7
• 单位西北工业大学