A Study of Eloralintide (LY3841136) in Participants With Obesity, or Overweight Without Type 2 Diabetes

Inclusion Criteria: * Have Body Mass Index (BMI) at screening of the following: * 30 kilogram per square meter (kg/m2) OR * 27 kg/m2 with at least one of the following weight-related health conditions at screening: * high blood pressure * dyslipidemia * obstructive sleep apnea, or * heart disease * 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 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) * Have type 1 diabetes or type 2 diabetes * Have had within 90 days prior to screening: * heart attack * 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