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                      【理學院講壇】理學院數學科學研究中心學術報告
                      發布時間:2020-07-08【告訴好友】 【關閉窗口】

                         時間:2020年7月11日上午9:00-13:00

                        騰訊會議ID:135 939 719

                        會議主題:151****6054預定的會議

                        會議時間:2020/7/11 08:30-14:30

                        點擊鏈接入會,或添加至會議列表:

                        https://meeting.tencent.com/s/jvt2mKFEzSO0

                        (一)報告人:陳建清福建師范大學)

                        報告題目包含負冪次的橢圓型方程 

                        報告摘要:本報告首先回顧包含負冪次的半線性橢圓方程的解的存在性和唯一性;其次,介紹包含Hardy項和負冪次項的橢圓方程的解的存在性和多重性;最后介紹幾個包含負冪次項的薛定諤-泊松方程的解的存在性及漸近性質。

                        )報告人:竇井波陜西師范大學)

                        報告題目Sharp weighted Sobolev inequality involving divergent operator with degeneracy and related sharp inequalities

                        報告摘要:In this talk we present the classification of all positive extremal functions to a sharp weighted Sobolev inequality on the upper half space, which involves divergent operators with degeneracy on the boundary. We show that such a weighted Sobolev inequality can be used to derive a sharp Sobolev type inequality involving Baouendi-Grushin operator, and deduce others weighted inequalities. This work joins with Liming Sun, Lei Wang and Meijun Zhu. 

                        )報告人:楊敏波浙江師范大學)

                        報告題目Regularity, symmetry and asymptotic behavior of solutions for some integral systems

                        報告摘要:In this talk weintroduce some results about the positive solutions of some integral systems related to the static Hartree type equations. Firstly, assuming that the exponent p lying in some suitable interval depending on the parameters , we are able to prove some nonexistence results for the positive solution. Secondly, we also establish some qualitative results for the integrable solution of the system like regularity, symmetry and asymptotic behavior. As a corollary, we can get the corresponding results for the equivalent static Hartree type nonlocal equations.

                       


                         理學院數學科學研究中心學術報告

                        時間:2020年7月12日上午9:00-12:00

                        騰訊會議ID:639 736 112

                        會議主題:151****6054預定的會議

                        會議時間:2020/7/12 08:30-12:30

                        點擊鏈接入會,或添加至會議列表:

                        https://meeting.tencent.com/s/Qi0Ir977eGjF

                        (一)報告人:陳文晶西南大學)

                        報告題目Nonlocal problems with critical nonlinearities

                        報告摘要:In this talk, we mainly introduce some nonlocal problems with critical nonlinearities. By variational methods, we obtain the existence of solutions for the fractional Choquard Kirchhoff type problems with critical Hardy nonlinearities.

                        )報告人:王春花華中師范大學)

                        報告題目Uniqueness of positive solutions with Concentration for the Schrdinger-Newton problem

                        報告摘要:We study the following Schodinger-Newton problem

                        

                        For  small enough,  we show the uniqueness of positive solutions concentrating at the nondegenerate critical points of V(x). The main tools are a local Pohozaev type of identity, blow-up analysis and the maximum principle. Our results also show that the asymptotic behavior of concentrated points to Schrodinger-Newton problem is quite different from those of Schrodinger equations, which is mainly caused by the nonlocal term. This is a joint work with Peng Luo and Prof. Shuangjie Peng.

                            
                            
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