Speaker：Dr. Bin Lin Zhang

                        Heilongjiang Institute of Technology

Title:  Existence results on Schrodinger-Kirchhoff type fractional problems with Choquard-type nonlinearity

       Time：05 June 2019,15:30

Location：行政楼B313

Abstract:  In this talk, we are concerned with a Schrodinger-Kirchhoff type fractional p-Laplacian equation with Choquard-type nonlinearity. First, via the mountain pass theorem, existence of nonnegative solutions is obtained when nonlinearity satisfies superlinear growth conditions and the parameter is large enough. Then, via the Ekeland variational principle, existence of nonnegative solutions is investigated when nonlinearity is sublinear at infinity and the parameter is small enough. Finally, some recent results on the fractional Schrodinger-Kirchhoff type problems with Choquard-type nonlinearities in the non-degenerate and degenerate cases are presented.

   Speaker Introduction：张彬林，黑龙江工程学院数学系副教授，应用数学研究所所长，哈尔滨工业大学基础数学博士，意大利地中海研究中心博士后，南开大学陈省身数学研究所博士后，哈尔滨工程大学兼职博士生导师。当前的研究兴趣主要是基尔霍夫型分数阶Laplace问题。自2012年以来，在《J. Differential Equations》、《Calc. Var. PDEs》、《Nonlinearity》、《Disc. Contin. Dyn. Syst. A.》、 《Proc. Royal Soc. Edinburgh (A)》等国际知名期刊上发表了SCI论文60余篇。目前是美国数学会《Mathematical Reviews》评论员，4个国际数学SCI期刊的编委

 联系人：  闫卫平副教授