Boundary Value Problems
Volume 2010 (2010), Article ID 208085, 23 pages
doi:10.1155/2010/208085
Research Article

The Boundary Value Problem of the Equations with Nonnegative Characteristic Form

Limei Li and Tian Ma

Mathematical College, Sichuan University, Chengdu 610064, China

Received 22 May 2010; Accepted 7 July 2010

Academic Editor: Claudianor Alves

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.

Abstract

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.