Open Access Research Article

The Boundary Value Problem of the Equations with Nonnegative Characteristic Form

Limei Li and Tian Ma

Author Affiliations

Mathematical College, Sichuan University, Chengdu 610064, China

Boundary Value Problems 2010, 2010:208085  doi:10.1155/2010/208085

Published: 25 July 2010

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.