【摘 要】
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The authors show the regularity of weak solutions for some typical quasi-linear elliptic systems governed by two p-Laplacian operators. The weak solutions of th
【机 构】
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Department of Mathematics
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The authors show the regularity of weak solutions for some typical quasi-linear elliptic systems governed by two p-Laplacian operators. The weak solutions of the following problem with lack of compactness are proved to be regular when a(x) and α, β,p,q satisfy some conditions:-△qv + a(x)|u|α+1|v|β-1u = |v|q*-2u, x ∈Ω,u(x) = v(.x) = 0, x ∈ ()Ω,where Ω() RN (N ≥ 3) is a smooth bounded domain.
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