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Analele Universitatii "Ovidius" Constanta - Seria Matematica

The Journal of "Ovidius" University of Constanta

Editor-in-Chief: Flaut, Cristina

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Three solutions to a p(x)-Laplacian problem in weighted-variable-exponent Sobolev space

Wen-Wu Pan
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  • Department of Science, Sichuan University of Science and Engineering, Zigong 643000, P. R. China
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/ Ghasem Alizadeh Afrouzi
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  • Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, 47416-1467 Babolsar, Iran
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/ Lin Li
Published Online: 2013-09-19 | DOI: https://doi.org/10.2478/auom-2013-0033

Abstract

In this paper, we verify that a general p(x)-Laplacian Neumann problem has at least three weak solutions, which generalizes the corresponding result of the reference [R. A. Mashiyev, Three Solutions to a Neumann Problem for Elliptic Equations with Variable Exponent, Arab. J. Sci. Eng. 36 (2011) 1559-1567].

Keywords: p(x)-Laplacian problems; Neumann problems; Ricceri's variational principle

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About the article

Published Online: 2013-09-19

Published in Print: 2013-06-01


Citation Information: Analele Universitatii "Ovidius" Constanta - Seria Matematica, Volume 21, Issue 2, Pages 195–205, ISSN (Online) 1844-0835, DOI: https://doi.org/10.2478/auom-2013-0033.

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