A Study of LY3841136 in Japanese Participants With Obesity or Overweight

Inclusion Criteria: * Male or female participants who agree to contraception requirements * Have a body mass index (BMI) within the range of 27 to 40 kg/m², inclusive * Have had a stable weight for the 3 months Exclusion Criteria: * Have a history of significant atopy (severe allergic manifestations), multiple or severe drug allergies, or severe posttreatment hypersensitivity reactions * Have a history or presence of psychiatric disorders, including a history of major depressive disorder or severe psychiatric disorders such as schizophrenia, bipolar disorder within the last 3 years * Have been diagnosed with Type 1 or Type 2 Diabetes Mellitus * Have a history of chronic medical conditions involving the heart, liver, or kidneys * Have a history of any malignancy within the past 5 years * Have a history or presence of a GI disorder * Have had within the last 6 months, or plan to have during the study, a device-based or surgical treatment use for obesity * Have been treated, or plan to be treated, with prescription medications or other non-approved drugs intended to promote weight loss, within 3 months prior to screening * For participants in Part B, have previously received tirzepatide within 6 months prior to screening * For participants in Part B, have a personal or family history of medullary thyroid carcinoma, or have multiple endocrine neoplasia syndrome type 2