Some rigidity properties for -self-expanders

lambda-self-expanders sigma in Rn+1 are the solutions of the isoperimetric problem with respect to the same weighted area form as in the study of the self-expanders. In this paper, we mainly extend the results on self-expanders which we obtained in Ancari and Cheng (2022) to lambda-self-expanders. We prove some results that characterize the hyperplanes, spheres and cylinders as lambda-self-expanders.(c) 2023 Elsevier Ltd. All rights reserved.