Cylindrically symmetric solutions of curl–curl equation with nonlocal nonlinearity

Abstract

In this paper we consider a curl–curl equation with nonlocal nonlinearity involving Riesz potential. Under the assumption of 0∉σ(L), our investigation becomes a strong indefinite problem. Based on the method of constraining Nehari–Pankov manifold and concentration compactness principle, we get the cylindrically symmetric solution to curl–curl equation.