Electron. J. Diff. Equ.,
Vol. 2015 (2015), No. 105, pp. 1-10.
Weak solutions to discrete nonlinear two-point boundary-value
problems of Kirchhoff type
Blaise Kone, Ismael Nyanquini, Stanislas Ouaro
Abstract:
In this article, we prove the existence of weak solutions to a family
of discrete boundary-value problems whose right-hand side belongs to
a discrete Hilbert space. As an extension, we prove the existence of
weak solutions for problems whose right-hand side depends on the solution.
Submitted June 29, 2014. Published April 21, 2015.
Math Subject Classifications: 47A75, 35B38, 35P30, 34L05, 34L30.
Key Words: Kirchhoff type problems; discrete boundary-value problem;
critical point; weak solution; electrorheological fluids.
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Blaise Kone
Laboratoire de Mathématiques et Informatique (LAMI)
Institut Burkinabé des Arts et Métiers
Université de Ouagadougou
03 BP 7021 Ouaga 03 Ouagadougou, Burkina Faso
email: leizon71@yahoo.fr
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Ismaël Nyanquini
Laboratoire de Mathématiques et Informatique (LAMI)
Institut des Sciences Exactes et Appliquées
Université Polytechnique de Bobo-Dioulasso
01 BP 1091 Bobo-Dioulasso 01,
Bobo Dioulasso, Burkina Faso
email: nyanquis@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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