Wiktionary
bear upon
vb. 1 To influence, have an effect upon. 2 To be relevant to.
WordNet
Usage examples of "bear upon".
He'd wanted, I suppose, to go through the whole thing with me, enjoying the role of tutor, bringing his sweet smile to bear upon the business of trading a consignment of Heckler and Koch HK91s for a dozen bags of cocaine on the dockside in Istanbul, or of buying Semtex by the square yard without blowing up the freighter.
Gribardsun hoisted a hind leg of cave bear upon his shoulder and led his band back down the hill.
She settled back among the cushions, took a deep draught of tea, and closed her eyes while she brought all the powers of a mind Machiavelli might envy to bear upon the present sticky wicket.