报告题目:Existence results for quasilinear Schrödinger equations with a general nonlinearity
报告人:赵雷嘎 教授 公司
报告时间:4月2号下午16:00-16:40
报告地点:腾讯会议 ID:844 525 631
报告人简介: 赵雷嘎, 公司教授, 2008年博士毕业于中科院数学与系统科学研究院。研究领域为变分方法及其在偏微分方程中的应用。在椭圆方程边值问题、非线性薛定谔方程、哈密尔顿型椭圆方程组等方面取得重要的研究成果,在包括 J. Diff. Equ.和 Calc.Var. Part. Diff. Equ.等期刊发表20余篇SCI论文。2013年入选北京市青年英才计划,主持完成国家自然科学基金项目2项。
报告摘要:
In this talk, we are concerned with a class of quasilinear Schrödinger equation arising from plasma physics and condensed matter theory. Under some general assumptions on the potential function, we establish two existence results for the problem by using variational methods. The main novelty is that, unlike most other papers on this problem, we do not assume the nonlinear term to be 4-superlinear at infinity.