Congrats: 1. Ne1! is the solution! By moving the knight the queen protects the rook and the knight attacks the black queen. Therefore the queen must move, but then white can play fxg6 and take the black knight.
I played 1. Re1? Qxg2+! 2. Kxg2 Nf4+ 3. Kg3 Nxh5 and black had the advantage.
RE: Chess problem 35 / Schachaufgabe 35