Resonance problems for the one-dimensional 𝑝-Laplacian
Pavel Drábek, Stephen B. Robinson · Proceedings of the American Mathematical Society · 1999
We consider resonance problems for the one dimensional p p -Laplacian, and prove the existence of solutions assuming a standard Landesman-Lazer condition. Our proofs use variational techniques to characterize the eigenvalues, and then to establish the solvability of the given boundary value problem.