Reilly type formula and Eigenvalue estimates on manifolds

    In this talk, we make a survey on the Eigenvalue estimates on manifolds by Reilly type formula. We focus on recent joint work with Changwei Xiong on a sharp lower bound for the Steklov eigenvalue, which is based on a weighted Reilly formula. Next we discuss a similar nonlinear boundary problem on manifolds and a question of Xiaodong Wang and their recent progress by using our method.

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