We improve previous results concerning ground states of curl–curl problems. Multiplicity results for our problem have not been studied so far in R3 and in order to do this we construct a suitable critical point theory; it is applicable to a wide class of strongly indefinite problems, including...
We survey recent results on ground and bound state solutions E : Ω→ R3 of the problem × ( × E) + λE = |E|p2E in Ων× E = 0 on Ω on a bounded Lipschitz domain Ω R3, where × denotes the curl operator in R3. The equation describes the propagation of the time-harmonic...