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Title
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EXISTENCE SOLUTION FOR WEIGHTED p(x)-LAPLACIAN EQUATION
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Type
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JournalPaper
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Keywords
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p(x)-biharmonic, variable exponent Lebesgue space, variable exponent Sobolev space
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Abstract
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This paper deals with the existence solution for the following type of boun- dary value problems: { Δ ( jxjp(x) jΔujp(x)2 Δu ) = jujq(x)2 u; in Ω; u = Δu = 0; on @Ω; where Ω is a smooth bounded domain in ℜN. It is established for a negative , there exists at least one weak solution. Our approach relies on the variable exponent theory of generalized Lebesgue-Sobolev spaces and a variant of the Mountain Pass theorem.
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Researchers
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Hossein Jafari (Third Researcher), Mohsen Alimohammady (Second Researcher), S R MousavianKatir (First Researcher)
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