We propose a scenario for inflation based upon the braneworld picture, in w
hich high-energy corrections to the Friedmann equation permit inflation to
take place with potentials ordinarily too steep to sustain it. Inflation en
ds when the braneworld corrections begin to lose their dominance. Reheating
may naturally be brought about via gravitational particle production, rath
er than the usual inflaton decay mechanism; the reheat temperature may be l
ow enough to satisfy the gravitino bound and the Universe becomes radiation
dominated early enough for nucleosynthesis. We illustrate the idea by cons
idering steep exponential potentials, and show they can give satisfactory d
ensity perturbations (both amplitude and slope) and reheat successfully. Th
e scalar field may survive to the present epoch without violating observati
onal bounds, and could be invoked in the quintessential inflation scenario
of Peebles and Vilenkin.