ENTROPY SOLUTIONS FOR NONLINEAR ELLIPTIC ANISOTROPIC PROBLEMS WITH HOMOGENEOUS NEUMANN BOUNDARY CONDITION

Idrissa Ibrango; Stanislas Ouaro

doi:10.11948/2016022

2016 Volume 6 Issue 2

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Idrissa Ibrango, Stanislas Ouaro. ENTROPY SOLUTIONS FOR NONLINEAR ELLIPTIC ANISOTROPIC PROBLEMS WITH HOMOGENEOUS NEUMANN BOUNDARY CONDITION[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 271-292. doi: 10.11948/2016022

Citation:

Idrissa Ibrango, Stanislas Ouaro. ENTROPY SOLUTIONS FOR NONLINEAR ELLIPTIC ANISOTROPIC PROBLEMS WITH HOMOGENEOUS NEUMANN BOUNDARY CONDITION[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 271-292. doi: 10.11948/2016022

ENTROPY SOLUTIONS FOR NONLINEAR ELLIPTIC ANISOTROPIC PROBLEMS WITH HOMOGENEOUS NEUMANN BOUNDARY CONDITION

1 LAboratoire de Mathématiques et Informatique(LAMI), UFR. Sciences et Techniques, Université Polytechnique de Bobo-Dioulasso, 01 BP 1091 Bobo 01, Bobo-Dioulasso, Burkina Faso;
2 LAboratoire de Mathématiques et Informatique(LAMI), UFR. Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso

Abstract

Abstract

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.
- Anisotropic Sobolev spaces /
- variable exponent /
- monotone operators /
- entropy solutions
MSC: 35J20;35J25;35D30;35B38;35J60

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References

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