Sridhar555, I don't know your growing conditions or what types of maples are involved, but have had a situation perhaps approximating your one with one of our herbaceous perennial beds. Bed below, has roots continually invading from two of three silver maples (pictures below). The trees belong, one to the town and the other to a neighbour. Over a dozen or so years, we've had to take out two branches from the neighbour's tree, as they were starting to shade out our front garden.
Despite having an ongoing problem with silver maple roots, have been able to maintain a wide variety of herbaceous perennials in that bed, perennials that bloom at various times through the growing season. Through the years, whenever the opportunity came, adding/replacing/dividing plants, fall clean up, etc., I have chopped through maple roots and pulled them out. While edging, I saw/cut through maple roots and pull roots out.
It's interesting that many herbaceous perennials have continued to grow and spread in that flower bed, four of the most obvious at holding their own have been the peonies, daylilies, culver's root and a fall aster.
Sept 13, 2013

August 10, 2017