#### 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.

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.