Discrete multiparameters potential boundary value problems involving the p(k)-Kirchhoff equations

Yassia OUEDRAOGO; Abdoul Aziz Kalifa DIANDA; Blaise KONE; Stanislas OUARO

doi:10.61383/ejam.20242473

Authors

Yassia Ouedraogo LAboratoire de Math´ematiques et d’Informatique (LAMI), UFR, Sciences Exactes et Appliqu´ees, Universit´e Joseph KI-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso https://orcid.org/0009-0009-0847-903X
A.A.K. Dianda LAboratoire de Math´ematiques et d’Informatique (LAMI), UFR, Sciences Exactes et Appliqu´ ees, Universit´ e Thomas SANKARA,12BP417,Ouagadougou, Burkina Faso https://orcid.org/0009-0003-5894-8582
Blaise Koné LAboratoire de Math´ematiques et d’Informatique (LAMI), UFR, Sciences Exactes et Appliqu´ees, Universit´e Joseph KI-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso https://orcid.org/0000-0001-9108-4577
Stanislas Ouaro LAboratoire de Math´ematiques et d’Informatique (LAMI), UFR, Sciences Exactes et Appliqu´ees, Universit´e Joseph KI-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso Corresponding Author https://orcid.org/0000-0003-0671-2378

DOI:

https://doi.org/10.61383/ejam.20242473

Keywords:

Kirchhoff type equation, Potential boundary, Discrete inclusion, Discrete boundary value problem, Critical point theory, Variational methods

Abstract

This paper is concerned with the existence and multiplicity of solutions of discrete inclusions problems involving the so called p(k)-Laplacian operator of Kirchhoff type subjected to potential boundary values conditions.

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