A Study of Eloralintide (LY3841136) in Participants With Obstructive Sleep Apnea and Obesity or Overweight

Inclusion Criteria: * Confirmed history of moderate-to-severe OSA * Have an AHI ≥ 15 on polysomnography (PSG) as part of the study at screening * Have a BMI ≥27 kg/m2 at screening * Have a stable body weight (\<5% body weight change) for 90 days prior to screening * Have a history of at least one self-reported unsuccessful dietary effort to reduce body weight For YSA1 Participants: * Are unable or unwilling to use PAP therapy For YSA2 Participants: * Have been on PAP therapy for at least three consecutive months prior to screening and plan to continue PAP therapy during the study Exclusion Criteria: * Have a prior or planned surgical treatment for obesity (liposuction, cryolipolysis, or abdominoplasty allowed if performed \>1 year before screening) * Have a prior or planned endoscopic procedure and/or device-based therapy for obesity (prior device-based therapy acceptable if device removal was more than 6 months prior to screening) * Any previous or planned surgery for sleep apnea or major ear, nose or throat surgery that still may affect breathing at time of screening * Have type 1 diabetes, type 2 diabetes, or any other type of diabetes * Have had within 90 days prior to screening: * acute myocardial infarction * cerebrovascular accident (stroke) * coronary artery revascularization * unstable angina, or * hospitalization due to congestive heart failure * Have a history or diagnosis of New York Heart Association Functional Classification Class IV congestive heart failure * Have taken medications or alternative remedies intended for weight loss within 90 days of screening