报告题目：Blow-up Phenomenon of the prescribed Q-curvature equation on 4-manifolds in the null case

报告简介：It is widely known that if is a closed 4-manifold with null Q-curvature and f a smooth sign-changing function with , then there exists at least one solution u to the prescribed Q-curvature equation . Here, is the positive Paneitz operator with kernel consisting of constant functions. By fixing a smooth function satisfying and , we then consider a family of prescribed Q-curvature equations , where is a suitably small constant. A solution to this equation can be obtained from a minimizer of the associated Dirichlet energy functional. We prove that the minimizer exhibits a bubbling phenomenon in a certain limit regime as goes to 0 and the analogy also occurs in the context of Q-curvature flows. This is a joint work with A/Prof. Ngo Quoc Anh at VNU.

报告人：张宏，华南师范大学

报告时间：2021年3月20日（星期六）下午14:30

腾讯会议ID：567 765 321

会议密码：123456

主办单位：扬州大学数学科学学院

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