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

Pan, Wen-Wu; Afrouzi, Ghasem Alizadeh; Li, Lin

doi: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].

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

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