Resonant solutions for elliptic systems with Neumann boundary conditions

Abstract

We consider a sublinear perturbation of an elliptic eigenvalue system with homogeneous Neumann boundary conditions. For oscillatory nonlinearities and using bifurcation from infinity, we prove the existence of an unbounded sequence of turning points and an unbounded sequence of resonant solutions. See also https://ejde.math.txstate.edu/special/02/d1/abstr.html