The Boundary Value Problem of the Equations with Nonnegative Characteristic Form. (25th July 2010)

• Record Type: Journal Article
• Authors: Li Li, Limei Limei; Ma Ma, Tian Tian
• Other Names: Alves Alves Claudianor Claudianor Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-07-25
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/208085
• Languages: English
• ISSNs: 1687-2762

Abstract

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.