Resonance problems for p-Laplacian

Abstract

We study the existence of the weak solution of the nonlinear boundary value problem [GRAPHICS]

where p and lambda are real numbers, p > 1, h is an element of L-P'(0, pi)(p' = p/(p - 1)) and the nonlinearity g : R --> R is a continuous function of the Landesman-Lazer type. Our results generalize previously published results about the solvability of our problem.