EXISTENCE OF COUPLED WEAK QUASISOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (1): 102-110.

EXISTENCE OF COUPLED WEAK QUASISOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

杨世廞

Dept. of Math., Xiamen Univ., Xiamen 361005, China

收稿日期:1991-12-08 出版日期:1993-03-25 发布日期:1993-03-25
基金资助:
This work is supported by National Natural Science Foundation.

EXISTENCE OF COUPLED WEAK QUASISOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

Yang Shixin

Dept. of Math., Xiamen Univ., Xiamen 361005, China

Received:1991-12-08 Online:1993-03-25 Published:1993-03-25
Supported by:
This work is supported by National Natural Science Foundation.

摘要/Abstract

摘要： 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 A_i(x,▽u_i(x))=B_i(x,u(x),▽u_i(x)) x∈Ω⊂Rⁿ(n ≥ 2) u_i(x)=g_i(x) x∈∂Ω i=1,…,N.

杨世廞. EXISTENCE OF COUPLED WEAK QUASISOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS[J]. 数学物理学报(英文版), 1993, 13(1): 102-110.

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.

EXISTENCE OF COUPLED WEAK QUASISOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

EXISTENCE OF COUPLED WEAK QUASISOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

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