Chen, ShibingLi, Qi-RuiZhu, Guangxian2021-08-240022-0396http://hdl.handle.net/1885/245018For the case where 0 <p< 1, we prove the existence of solutions of the Lp Monge–Ampère equation for arbitrary measures and show that the solution is in general not unique.application/pdfen-AU© 2017 Elsevier Inc.Monge–Ampère type equationLp surface area measureLp Minkowski problem201710.1016/j.jde.2017.06.0072020-11-23