Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (zk): 675-683.

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The Boundary Value Problem for Nonlinear Elliptic Equations in Annular DOmain

InthispaperweshallestablishtheexistencetheoremofpositiveradiallysymmetricsolutionsofDirichlet(Dirichlet-Neumann)boundaryvalueproblemsforequation
Δu+f(x|u)=0inannulardomain   

  1. Department of Msthematics of guangdong education colldedge
  • Received:1999-04-27 Revised:2000-06-13 Online:2000-11-10 Published:2000-11-10

Abstract:

InthispaperweshallestablishtheexistencetheoremofpositiveradiallysymmetricsolutionsofDirichlet(Dirichlet-Neumann)boundaryvalueproblemsforequationΔu+f(x,u)=0inannulardomain.

Key words: boundary condition, radial derivative, positive radial solution, initial value, shooting method, sturn comparison thr\eorem

CLC Number: 

  • 35J
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