On Hölder regularity for elliptic equations of non-divergence type in the plane
On Hölder regularity for elliptic equations of non-divergence type in the plane
This paper is concerned with strong solutions of uniformly elliptic equations of non-divergence type in the plane.First, we use the notion of quasiregular gradient mappings to improve Morrey's theorem on the Hölder continuity of gradients of solutions.Then we show that the Gilbarg-Serrin equation does not produce the optimal Hölder exponent …