EXISTENCE OF SOLUTIONS FOR NAVIER PROBLEM INVOLVING $(p(.),q(.))$-LAPLACIAN AND $(p(.),q(.))$-BIHARMONIC OPERATORS

Year 2025, Volume: 15 Issue: 9, 2192 - 2201, 01.09.2025

Abdessamad El Katit Abdelrachid El Amrouss Fouad Kissi

Abstract

In the present paper, we are interested in the study of nonlinear problem driven by $(p(.),q(.))$-Laplacian and $(p(.),q(.))$-Biharmonic operators subject to Navier boundary conditions. By means of variational method and critical point theory, we establish the existence of at least one solution and infinitely many solutions under some suitable assumptions.

Keywords

(p(.),q(.))-Laplacian Operator , (p(.),q(.))-Biharmonic Operator , Navier boundary problem , variational method

Thanks

The authors would like to thank the referees for their helpful comments and suggestions.

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