It is White to move and White is in big trouble! How can White save this game? How should white proceed?
The only move to hold this is the very non-obvious 1.Kh2. Black cannot take the bishop since this this would allow 2.Rd3. I leave the rest to the other commenters.
R-d3 and after RxB K - H2
R-D3, and then after RxB check K to H2
my idea is to exchange rooks and queen, if the 2 bishops will left the pawn on b3 will be the target of the attack")
This is not a position from "an actual game between Agmanov, Zhandos - Hakobyan, Aram in round 2 of World Junior Championship" but could have been.
Took me a while to figure this out- almost 30 minutes. I knew it had something to do with black's back rank weakness, but I couldn't quite figure out how to drive the queen off of d8 successfully- the bishop/rook coverage of c8 made checks from b8 by the white queen ineffective. Basically, white's problem is that if he moves the rook off of the e-file, black can take the bishop at f1 since the king can't recapture due to Qd1 being mate. Everything looked too slow to save white- including opening a hole at g2, but then I realized I was trying a bit too hard to save the bishop.
I don't want to give the answer here- it is very pretty, and the line is actually pretty deep- there are other issues to solve, but I am pretty sure I know the first and second moves, and the ideas to save the game in the other lines, too.