Weak solutions of Dirichlet discrete nonlinear problems in a two-dimensional Hilbert space

Kalifa DIANDA; Yassia OUEDRAOGO; Malick ZOUNGRANA

doi:10.61383/ejam.202534100

Authors

A.A.K. Dianda Email ORCID Université Thomas SANKARA, Centre Universitaire de Dori (CUD) 12 BP Ouagadougou 12, Burkina Faso Corresponding Author
Yassia Ouedraogo Email Laboratoire de Mathématiques et d'Informatique (LAMI), UFR, Sciences Exactes et Appliquées, Université Joseph KI-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso
Malick Zoungrana Email Université Thomas SANKARA,Institut Universitaire de Formation Initiale et Continue (UIFIC), 12 BP Ouagadougou 12, Burkina Faso

DOI:

https://doi.org/10.61383/ejam.202534100

Keywords:

discrete boundary value problem, critical point, two-dimensional, discrete Hilbert space, weak solution, variational approach

Abstract

In this paper we prove the existence of at least one weak solution of a
discrete nonlinear Dirichlet boundary-value problem in a two-dimensional
Hilbert space. The main existence results based on variational approach,
specially minimization methods.

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