All patients must be at least 4 weeks from cytoreductive surgery before starting treatment. Patients will be randomized to receive treatment with either paclitaxel/carboplatin + sorafenib or paclitaxel/carboplatin. Paclitaxel/carboplatin will be repeated every 21 days for a maximum of 6 cycles. Patients with objective response/stable disease after completing 6 courses of chemotherapy will continue sorafenib until disease progression or for a total of 12 months.