AN EXISTENCE RESULT OF POSITIVE SOLUTIONS FOR SINGULAR SUPERLINEAR BOUNDARY VALUE PROBLEMS AND ITS APPLICATIONS

  • Lee, Yong-Hoon
  • Published : 1997.02.01

Abstract

In this paper, we are concerned with the existence of positive solutions for the boundary value problems of the form; $$(1) u"(t) + q(t)g(u(t)) = 0, 0 < t < 1 $$ $$ u(0) = 0 = u(1), $$ where q is singular at 0 and /or 1.or 1.

Keywords

Existence;positive solution;positive radial solution;superlinear problems;singular boundary value problems;generalized Emden-Fowler problems;semilinear elliptic problems;fixed point index arguments

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