Electron. J. Diff. Equ.,
Vol. 2013 (2013), No. 225, pp. 1-9.
Weak heteroclinic solutions of anisotropic difference equations
with variable exponent
Aboudramane Guiro, Blaise Kone, Stanislas Ouaro
Abstract:
In this article, we prove the existence of heteroclinic solutions
for a family of anisotropic difference equations. The proof of the
main result is based on a minimization method, a change of variables
and a discrete Holder type inequality.
Submitted December 11, 2012. Published October 11, 2013.
Math Subject Classifications: 47A75, 35B38, 35P30, 34L05, 34L30.
Key Words: Difference equations; heteroclinic solutions; anisotropic problem;
discrete Holder type inequality.
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Aboudramane Guiro
Laboratoire d'Analyse Mathématique des Equations (LAME)
UFR Sciences et Techniques, Université Polytechnique de Bobo Dioulasso
01 BP 1091 Bobo-Dioulasso 01,
Bobo Dioulasso, Burkina Faso
email: abouguiro@yahoo.fr, aboudramane.guiro@univ-ouaga.bf
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Blaise Kone
Laboratoire d'Analyse Mathématique des Equations (LAME)
Institut Burkinabé des Arts et Métiers, Université de Ouagadougou
03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso
email: leizon71@yahoo.fr, blaise.kone@univ-ouaga.bf
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Stanislas Ouaro
Laboratoire d'Analyse Mathématique des Equations (LAME)
UFR. Sciences Exactes et Appliquées, Université de Ouagadougou
03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso
email: ouaro@yahoo.fr, souaro@univ-ouaga.bf
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