# On a Picone's identity for the $\mathcal{A}_{p(x)}$-Laplacian and its applications

Document Type: Research Paper

Author

Department of Mathematics‎, ‎Faculty of Basic Sciences‎, ‎Babol Noshirvani University of Technology‎, ‎Babol‎, ‎Iran.

Abstract

‎We present a Picone's identity for the‎ ‎$\mathcal{A}_{p(x)}$-Laplacian‎, ‎which is an extension of the classic‎ ‎identity for the ordinary Laplace‎. ‎Also‎, ‎some applications of our‎ ‎results in Sobolev spaces with variable exponent are suggested.

Keywords

Main Subjects

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### History

• Receive Date: 21 September 2015
• Revise Date: 29 July 2017
• Accept Date: 29 July 2017