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A CLASS OF NONLOCAL BOUNDARY VALUE PROBLEMS OF NONLINEAR ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS
作者姓名:莫嘉琪  欧阳成
作者单位:Mo Jiaqi Department of Mithematics,Anhui NormaI University Wuhu 241000,China Ouyang Cheng Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China
基金项目:The project supported by the National Natural Science Foundation of China
摘    要:We consider the following boundary value problem ill the unbounded donain Liui = fi(x,u, Tu), i = 1, 2,' ! N,x E fl, (1) olLi "i0n Pi(x)t'i = gi(x,u), i = l, 2,',N,x E 0fl, (2) where x = (x i,', x.), u = (u1,' f uN), Th = (T1tti,', TNi'N) and n. 1 L, = -- I Z ajk(X)the i0j(X)C], Li,k=1' j=1 J] l Ltti = / K(x,y)ui(y)dy, x E n. jn K(x, y)ui(y)dy, x E n. Q denotes an unbounded dolllain in R", including the exterior of a boullded doinain and 0…


A CLASS OF NONLOCAL BOUNDARY VALUE PROBLEMS OF NONLINEAR ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS
Mo Jiaqi.A CLASS OF NONLOCAL BOUNDARY VALUE PROBLEMS OF NONLINEAR ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS[J].Acta Mathematica Scientia,2001(1).
Authors:Mo Jiaqi
Institution:Mo Jiaqi Department of Mithematics,Anhui NormaI University Wuhu 241000,China Ouyang Cheng Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China
Abstract:The nonlocal boundary value problems for nonlinear elliptic systems in the unbounded domain are considered. Under suitable conditions the existence of solution and comparison theorem for the boundary value problems are studied.
Keywords:Elliptic system  boundary value problem  comparison theorem
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