existence of solutions for nonhomogeneous a-harmonic equations with variable growth
Abstract
We study the following nonhomogeneous A-harmonic equations: d*A(x,du(x))+B(x,u(x))=0, x∈Ω, u(x)=0, x∈∂Ω, where Ω⊂ℝn is a bounded and convex Lipschitz domain, A(x,du(x)) and B(x,u(x)) satisfy some p(x)-growth conditions, respectively. We obtain the existence of weak solutions for the above equations in subspace 𝔎01,p(x)(Ω,Λl-1) of W01,p(x)(Ω,Λl-1).
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223007
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223007
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10.1155/2012/421571
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Scimatic Chain (ID: 481)
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