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EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS

EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS
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摘要 The existence of positive radial solutions to the systems of m(m≥1) semilinear elliptic equations Δu+p(r)f(u)=0,0<A<r<B in annuli with Dirichlet(Dirichlet/Neumann)boundary conditions,is studied,where r=x 2 1+...+x 2 n,n≥1.u=(u 1,...,u m),p(r)f(u)=(p 1(r)f 1(u),...,p m(r)f m(u)), and p(r) may be singular at r=A or r=B,f may be singular at u=0. The existence of positive radial solutions to the systems of m(m≥1) semilinear elliptic equations Δu+p(r)f(u)=0,0<A<r<B in annuli with Dirichlet(Dirichlet/Neumann)boundary conditions,is studied,where r=x 2 1+...+x 2 n,n≥1.u=(u 1,...,u m),p(r)f(u)=(p 1(r)f 1(u),...,p m(r)f m(u)), and p(r) may be singular at r=A or r=B,f may be singular at u=0.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第2期141-148,共8页 高校应用数学学报(英文版)(B辑)
基金 The work was supported by NNSF(1 9771 0 0 7) of China
关键词 Positive radial solution elliptic system SINGULAR existence. Positive radial solution,elliptic system,singular,existence.
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参考文献5

  • 1Wang Haiyan,On the existence ofpositive solutions for semilinear elliptic equations in the annulus,J.DifferentialEquations,1994,109:1-8.
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