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For Ω a bounded subset of R n,n 2,ψ any function in Ω with values in R∪{±∞}andθ∈W1,（q i）（Ω）,let K（q i）ψ,θ（Ω）={v∈W1,（q i）（Ω）：vψ,a.e.and v-θ∈W1,（q i）0（Ω}.This paper deals with solutions to K（q i）ψ,θ-obstacle problems for the A-harmonic equation-divA（x,