On the number of solutions of boundary value problems involving the p-Laplacian

Abstract. This paper is concerned with multiplicity questions for solutions of the boundary value problem (’(u0))0 + f(t; u) = 0; a < t < b u(a) = 0 = u(b) where ’ is an odd, increasing homeomorphism on R, and is a positive parameter. The tools employed are xed point and continuation methods. 1