RATIONALE: Sorafenib tosylate may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth and by blocking blood flow to the tumor. Drugs used in chemotherapy, such as doxorubicin hydrochloride and mitomycin C, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Chemoembolization kills tumor cells by carrying drugs directly into the tumor and blocking blood flow to the tumor. Giving sorafenib tosylate before and after chemoembolization may kill more tumor cells.