Three solutions to a p(x)-Laplacian problem in weighted-variable-exponent Sobolev space
نویسندگان
چکیده
منابع مشابه
Three solutions to a p(x)-Laplacian problem in weighted-variable-exponent Sobolev space
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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By considering a degenerate $p(x)-$Laplacian equation, a generalized compact embedding in weighted variable exponent Sobolev space is presented. Multiplicity of positive solutions are discussed by applying fibering map approach for the corresponding Nehari manifold.
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ژورنال
عنوان ژورنال: Analele Universitatii "Ovidius" Constanta - Seria Matematica
سال: 2013
ISSN: 1844-0835
DOI: 10.2478/auom-2013-0033