MULTIPLICITY RESULTS OF ORDERED POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC PROBLEMS ON Rn

  • Ko, Bong-Soo ;
  • Lee, Yong-Hoon
  • Published : 1999.03.01

Abstract

We prove the existence of 2N-1 distinct ordered positive solutions of a class of semilinear elliptic Dirichlet boundary value problems on Rn when the forcing term has N distinct positive stable zeros and the coefficient function decaying to the zero at infinity.

Keywords

existence;multiplicity;positive solution;semilinear elliptic problem;singular boundary value problem;upper and lower solution method;three solution theorem;Schauder fixed point

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