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太阳城菲律宾官方网学术报告2021-15

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                   

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