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

author

  • S.H. Rasouli 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.

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Journal title

volume 43  issue 7

pages  2449- 2455

publication date 2017-12-30

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