Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator-Reference-Cited by-同舟云学术

Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator

Published:2017-08-19 Issue:1 Volume:15 Page:1075-1089
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Khaleghi Moghadam Mohsen¹,Henderson Johnny²

Affiliation:

1. Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, Sari, Iran

2. Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA

Abstract

Abstract Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions. The methods for existence rely on a Ricceri-local minimum theorem for differentiable functionals. Several examples are included to illustrate the main results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0090/pdf

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