Nodal properties for p-Laplacian systems

Abstract

We consider a system of differential equations involving the p-Laplacian. We prove the existence of oscillatory solutions with prescribed numbers of zeros, and show that the solutions satisfy the Dirichlet boundary conditions when the large parameters in the equations are suitable chosen. Our main tool in this work is a Prufer-type substitution.

Keywords

• Quasilinear equation
• p-Laplacian system
• Prufer substitution