Copyright © 2010 Limei Li and Tian Ma. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study the generalized Keldys-Fichera boundary value
problem for a class of higher order equations with nonnegative characteristic. By using
the acute angle principle and the Hölder inequalities and Young inequalities we discuss
the existence of the weak solution. Then by using the inverse Hölder inequalities, we
obtain the regularity of the weak solution in the anisotropic Sobolev space.