Multiplicity results for p-Laplacian boundary value problem with jumping nonlinearities
Multiplicity results for p-Laplacian boundary value problem with jumping nonlinearities
We investigate the multiplicity of solutions for one-dimensional p-Laplacian Dirichlet boundary value problem with jumping nonlinearities. We obtain three theorems: The first states that there exists exactly one solution when nonlinearities cross no eigenvalue. The second guarantees that there exist exactly two solutions, exactly one solution and no solution, depending …