Open AccessENTROPY SOLUTIONS FOR NONLINEAR ELLIPTIC ANISOTROPIC PROBLEMS WITH HOMOGENEOUS NEUMANN BOUNDARY CONDITION
Author(s) -
Idrissa Ibrango,
Stanislas Ouaro
Publication year - 2016
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2016022
Subject(s) - homogeneous , mathematical analysis , mathematics , neumann boundary condition , nonlinear system , boundary value problem , physics , combinatorics , quantum mechanics
This study is about a nonlinear anisotropic problem with homogeneous Neumann boundary condition. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solution, and by approximation methods, we achieve a result of existence and uniqueness of entropy solution.
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