Electron. J. Differential Equations,
Vol. 2017 (2017), No. 109, pp. 1-16.
Classical solutions for discrete potential boundary value problems with
generalized Leray-Lions type operator and variable exponent
Bila Adolphe Kyelem, Stanislas Ouaro, Malick Zoungrana
Abstract:
In this article, we prove the existence of solutions for some discrete
nonlinear difference equations subjected to a potential boundary type
condition. We use a variational technique that relies on Szulkin's critical
point theory, which ensures the existence of solutions by ground state
and mountain pass methods.
Submitted November 21, 2016. Published April 25, 2017.
Math Subject Classifications: 47A75, 35B38.
Key Words: Potential boundary type condition; variational method;
critical point; ground state method; Palais-Smale condition;
mountain pass theorem.
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Bila Adolphe Kyelem
Université Ouaga I-Professeur Joseph Ki-Zerbo
Unité de Formation et de Recherche en Sciences
Exactes et Appliquées
Département de Mathématiques
B.P. 7021 Ouagadougou 03, Burkina Faso
email: kyeleadoc@yahoo.fr
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Stanislas Ouaro
Université Ouaga I-Professeur Joseph Ki-Zerbo
Unité de Formation et de Recherche en
Sciences Exactes et Appliquées
Département de Mathématiques
B.P. 7021 Ouagadougou 03, Burkina Faso
email: ouaro@yahoo.fr, souaro@univ-ouaga.bf
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Malick Zoungrana
Université Ouaga I-Professeur Joseph Ki-Zerbo
Unité de Formation et de Recherche en
Sciences Exactes et Appliquées
Département de Mathématiques
B.P. 7021 Ouagadougou 03, Burkina Faso
email: zoungmalick@yahoo.fr
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