Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem
Author(s) -
Bernard K. Bonzi,
Stanislas Ouaro,
F. Zongo
Publication year - 2013
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2013/476781
Subject(s) - mathematics , uniqueness , bounded function , neumann boundary condition , mathematical analysis , homogeneous , nonlinear system , boundary value problem , entropy (arrow of time) , weak solution , combinatorics , physics , quantum mechanics
We prove the existence and uniqueness of entropy solution fornonlinear anisotropic elliptic equations with Neumann homogeneousboundary value condition for -data. We prove first, by usingminimization techniques, the existence and uniqueness of weaksolution when the data is bounded, and by approximation methods, weprove a result of existence and uniqueness of entropysolution
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