Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem. (3rd April 2013)

• Record Type: Journal Article
• Authors: Bonzi, B. K.; Ouaro, S.; Zongo, F. D. Y.
• Other Names: Braverman Elena Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2013(2013)
• Publication Date: 2013-04-03
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2013/476781
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition forL 1 -data. We prove first, by using minimization techniques, the existence and uniqueness of weak solution when the data is bounded, and by approximation methods, we prove a result of existence and uniqueness of entropy solution.