Shapour Heidarkhani, Shahin Moradi, Ghasem A. Afrouzi, Existence of one weak solution for a Steklov problem involving the weighted $p(\cdot)$-Laplacian, Vol. 2023 (2023), Article ID 8, pp. 1-15

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DOI: 10.23952/jnfa.2023.8

Received October 30, 2021; Accepted January 25, 2023; Published February 21, 2023

Abstract In this study, we investigate the existence of at least one weak solution for a nonlinear Steklov boundary-value problem involving weighted $p (\cdot)$ -Laplacian. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given.

How to Cite this Article:
S. Heidarkhani, S. Moradi, G. A. Afrouzi, Existence of one weak solution for a Steklov problem involving the weighted $p(\cdot)$-Laplacian, J. Nonlinear Funct. Anal. 2023 (2023) 8.