<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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].</p></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].

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

Department of Science, Sichuan University of Science and Engineering, Zigong 643000, P. R. China

Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, 47416-1467 Babolsar, Iran

School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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...

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

Published Online: Sep 19, 2013

Page range: 195 - 205

DOI: https://doi.org/10.2478/auom-2013-0033

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

This content is open access.

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

Published Online: Sep 19, 2013

Page range: 195 - 205

DOI: https://doi.org/10.2478/auom-2013-0033

Keywordsp(x)-Laplacian problems, Neumann problems, Ricceri's variational principle

This content is open access.

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