Abstract: Using the Leray-Schauder degree theory, we studied the existence of two nonnegative solutions to a type of p-Laplacian two point b oundary value problems with sign changing of nonlinear term, and obtained sufficient conditions for the existence of the solution under weaker conditions.

Key words: LeraySchauder degree, sign changing of nonlinear term, p-Laplace operator, nonnegative solution