Sorafenib and Erlotinib in Treating Patients With Stage IIIB or Stage IV Non-Small Cell Lung Cancer That Has Not Responded to Chemotherapy

RATIONALE: Sorafenib and erlotinib may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Sorafenib may also stop the growth of non-small cell lung cancer by blocking blood flow to the tumor. Giving sorafenib together with erlotinib may kill more tumor cells. PURPOSE: This phase II trial is studying how well giving sorafenib together with erlotinib works in treating patients with stage IIIB or stage IV non-small cell lung cancer that has not responded to chemotherapy.