金沙澳门“舜耕讲坛”之六十二

讲座题目:Fu?ik’s spectrum to Kirchhoff type problem

讲座专家:梁占平

讲座时间:2020年10月31日(星期六)10:30—12:00

讲座地点:舜耕校区4号办公楼3楼会议室

专家概况:

梁占平,山西大学教授,博士生导师。在《Annales de l'Institut Henri Poincaré(C) Analyse Non Linéaire》、《Proceedings of the Royal Society of Edinburgh Section A: Mathematics》、《Zeitschrift fur angewandte Mathematik und Physik》、《Applied Mathematics Letters》、《Nonlinear Analysis- Theory methods &Applications》、《Journal of Mathematical Analysis and Applications》、《中国科学:数学》等国内外杂志发表学术论文30多篇。主持国家基金面上项目1项,获山西省科学技术奖(自然科学类)奖二等奖1项。引导学生获全国大学生数学建模竞赛国家一等奖1次。

报告摘要:

In this talk, I will present some recent results about Fu?ik’s spectrum to Kirchhoff type problem. Fu?ik’s spectrum is significant in many applications such as oscillations of suspension bridges. In Fu?ik’s spectrum to Kirchhoff type problem, three curves were constructed by using minimax methods; two curves are trivial and the other is first nontrivial curve. Moreover, some properties about the first nontrivial curve are also investigated. As an application, we obtain the multiplicity of solutions to Kirchhoff type problems with the nonlinearity having extension property at both zero and infinity. The results presented here were joint work with Fuyi Li and Ting Rong.

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