Resonance problems for the pp-Laplacian with a nonlinear boundary condition

Consider resonance problems at an arbitrary eigenvalue of the elliptic equations▵pu=|u|p-2u-g1(u)+h1(x),inΩ,|∇u|p-2∂u∂ν=λ|u|p-2u+g2(u)+h2(x),on∂Ω.Some existence theorems are obtained under the Landesman–Lazer type conditions by using variational method.