BIFURCATION AND ONE-SIGN SOLUTIONS OF THE p-LAPLACIAN INVOLVING A NONLINEARITY WITH ZEROS

In this paper, we use bifurcation method to investigate the existence and multiplicity of one-sign solutions of the p-Laplacian involving a linear/superlinear nonlinearity with zeros. To do this, we first establish a bifurcation theorem from in finity for nonlinear operator equation with homogeneous operator. To deal with the superlinear case, we establish several topological results involving superior limit.