Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (12): 1452-1457.

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EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC EQUATIONS IN ANNULUS

YAO Qing-liu1, MA Qin-sheng2   

  1. 1. Department of Applied Mathematics, Nanjing University of Economics, Nanjing 210003, P. R. China;
    2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, P. R. China
  • Received:2000-04-21 Revised:2002-06-11 Online:2002-12-18 Published:2002-12-18

Abstract: Applying Krasnosel′skii fixed point theorem of cone expansion-compression type, the existence of positive radial solutions for some second-order nonlinear elliptic equations in annular domains, subject to Dirichlet boundary conditions, is investigated. By considering the properties of nonlinear term on boundary closed intervals, several existence results of positive radial solutions are established. The main results are independent of superlinear growth and sublinear growth of nonlinear term. If nonlinear term has extreme values and satisfies suitable conditions, the main results are very effective.

Key words: second-order elliptic equation, annular domain, positive radial solution

2010 MSC Number: 

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