The Existence of Solutions to the Nonhomogeneous A‐Harmonic Equations with Variable Exponent

Haiyu Wen

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We first discuss the existence and uniqueness of weak solution for the obstacle problem of the nonhomogeneous A‐harmonic equation with variable exponent, and then we obtain the existence of the solutions of the equation d⋆A(x, dω) = B(x, dω) in the weighted variable exponent Sobolev space Wdp(x)(Ω,Λl,μ).

Date: 2014
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https://doi.org/10.1155/2014/280214

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:280214

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