Criterion toward understanding non-constant solutions to p-Laplace Neumann boundary value problem

抄録

We consider a p-Laplace equation ∆_pV + h(V) = 0, with an arbitrary C¹-nonlinearity h, in a bounded domain and supplemented with the Neumann boundary condition. We prove a necessary condition for zeros of h = h(V) to be touched by non-constant solutions to this problem.