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    STUDIA MATHEMATICA - Issue no. 1 / 2020  
         
  Article:   EXISTENCE AND MULTIPLICITY OF POSITIVE RADIAL SOLUTIONS TO THE DIRICHLET PROBLEM FOR NONLINEAR ELLIPTIC EQUATIONS ON ANNULAR DOMAINS.

Authors:  NOUREDDINE BOUTERAA, SLIMANE BENAICHA.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.1.09

Published Online: 2020-03-06
Published Print: 2020-03-30
pp. 109-125
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ABSTRACT: In this paper, we study the existence and nonexistence of mono-tone positive radial solutions of elliptic boundary value problems on bounded annular domains subject to local boundary condition. By using Krasnoselskii''s xed point theorem of cone expansion-compression type we show that there exists > 0 such that the elliptic equation has at least two, one and no radial positive solutions for 0 < ; < and > respectively. We include an example to illustrate our results.

Key words: Positive Solution, Elliptic equations, Existence; Multiplicity, local boundary, Green''s functio
 
         
     
         
         
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