Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (1): 102-110.
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Yang Shixin
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Abstract: In this paper, we use the upper-lower solution method with the theory of monotone operators to obtain the existence of coupled weak quasi-solutions of the following boundary value problem for quasilinear elliptic system-div Ai(x,▽ui(x))=Bi(x,u(x),▽ui(x)) x∈Ω⊂Rn(n ≥ 2) ui(x)=gi(x) x∈∂Ω i=1,…,N.
Yang Shixin. EXISTENCE OF COUPLED WEAK QUASISOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS[J].Acta mathematica scientia,Series B, 1993, 13(1): 102-110.
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