Ibrahime Konate, Stanislas Ouaro
Abstract:
We study nonlinear anisotropic problems with bounded Radon diffuse
measure and variable exponent. We prove the existence and uniqueness
of entropy solution.
Submitted March 28, 2016. Published August 17, 2016.
Math Subject Classifications: 36J60, 35J65, 35J20, 35J25.
Key Words: Generalized Lebesgue-Sobolev spaces; anisotropic Sobolev space;
weak solution; entropy solution; Dirichlet boundary condition;
bounded Radon diffuse measure; Marcinkiewicz space.
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Ibrahime Konaté Laboratoire de Mathématiques et Informatique (LAMI) UFR. Sciences Exactes et appliquées Université de Ouagadougou, 03 BP 7021 Ouaga 03 Ouagadougou, Burkina Faso email: ibrakonat@yahoo.fr |
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Stanislas Ouaro Laboratoire de Mathématiques et Informatique (LAMI) UFR. Sciences Exactes et Appliquées Université de Ouagadougou, 03 BP 7021 Ouaga 03 Ouagadougou, Burkina Faso email: souaro@univ-ouaga.bf, ouaro@yahoo.fr |
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