THESAURUS
lie on
abut on, be based on, be contingent on, be dependent on, be predicated on, bear hard upon, bear on, bear upon, bestraddle, bestride, burden, depend, depend on, go hard with, go ill with, hang, hang on, hinge, hinge on, lean on, lie with, load, oppress, overburden, overload, perch, press, press down, rely on, repose on, rest, rest on, rest with, revolve on, ride, sit on, stand on, straddle, stride, try one, turn on, turn upon, weigh down, weigh heavy on, weigh on, weigh upon
ROGET THESAURUS
lie on
Support
VB
be supported,
lie on, sit on, recline on, lean on, loll on, rest on, stand on, step on, repose on, abut on, bear on, be based on, have at one's back, bestride, bestraddle, support, bear, carry, hold, sustain, shoulder, hold up, back up, bolster up, shore up, uphold, upbear, prop, under prop, under pin, under set, riprap, bandage, give support, furnish support, afford support, supply support, lend support, give foundations, furnish foundations, afford foundations, supply foundations, lend foundations, bottom, found, base, ground, imbed, embed, maintain, keep on foot, aid.