Department of Mathematics, National University of Ireland, Galway, Ireland
Department of Mathematical Sciences, Florida Institute of Technology,
Melbourne, FL 32901-6975, USA
Abstract. We give conditions on f involving pairs of lower and upper solutions which lead to the existence of at least three solutions to the two point boundary value problem
(|u'|p -2 u') = q(t) f(t,u,u') on (0,1), u(0) = u(1) = 0.
2000 Mathematics Subject Classification. 34B15.
Key words and phrases. Lower and upper solutions, three solutions, p-Laplace equation, Nagumo condition.