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In this paper, we prove existence of radial positive solutions for the following boundary value problem { −△p u = λf(u(x)), x ∈ Ω; u(x) = 0, x ∈ ∂Ω. where λ > 0, Ω denotes a ball in R ; f has more than one zero and f(0) < 0(the nonpositone case). AMS Mathematics Subject Classification : 65H05, 65F10.

EXISTENCE OF RADIAL POSITIVE SOLUTIONS FOR A QUSILINEAR NON-POSITONE PROBLEM IN A BALL