Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem

Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem

We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for L1-data. We prove first, by using minimization techniques, the existence and uniqueness of weak solution when the data is bounded, and by appro...

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Veröffentlicht in:International Journal of Differential Equations 2013-01, Vol.2013 (2013), p.78-91
Hauptverfasser: Bonzi, B. K., Ouaro, Stanislas, Zongo, F. D. Y.
Format: Artikel
Sprache:eng
Schlagworte:
Anisotropy
Boundary value problems
Differential equations, Partial
Entropy (Information theory)
Mathematical research
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Zusammenfassung:We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for L1-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.
ISSN:1687-9643
1687-9651
DOI:10.1155/2013/476781