Study of RAD001 and Bevacizumab in Recurrent Ovarian, Peritoneal, and Fallopian Tube Cancer

Inclusion Criteria: * Patients may or may not have measurable disease. Measurable disease is defined according to RECIST criteria. If the patient has had previous radiation to the marker lesion(s), there must be evidence of progression since the radiation was completed. * Minimum of four weeks since any major surgery, completion of radiation, or completion of all prior systemic anticancer therapy (adequately recovered from the acute toxicities of any prior therapy) * Fasting serum cholesterol ≤300 mg/dL OR ≤7.75 mmol/L AND fasting triglycerides ≤ 2.5 x ULN. * Performance status £ 2 * Signed informed consent. Exclusion Criteria: * Prior treatment with any investigational drug within the preceding 4 weeks * Chronic treatment with systemic steroids or another immunosuppressive agent * Patients should not receive immunization with attenuated live vaccines within one week of study entry or during study period * Uncontrolled brain or leptomeningeal metastases * Other malignancies within the past 5 years except for adequately treated carcinoma of the cervix or basal or squamous cell carcinomas of the skin. * Patients who have any severe and/or uncontrolled medical conditions or other conditions that could affect their participation * Uncontrolled diabetes mellitus * A known history of HIV seropositivity * Impairment of gastrointestinal function or gastrointestinal disease * Patients with an active bleeding diathesis or on oral anti-vitamin K medication (except low dose coumadin) * Women who are pregnant or breast feeding, or women able to conceive and unwilling to practice an effective method of birth control. * Patients who have received prior treatment with an mTOR inhibitor (sirolimus, temsirolimus, everolimus). * Patients with a known hypersensitivity to RAD001 (everolimus), other rapamycins (sirolimus, temsirolimus) or excipients, or bevacizumab * Patients with serious non-healing wound, ulcer, or bone fracture. * Patients with known hypersensitivity to Chinese hamster ovary cell products or other recombinant human or humanized antibodies