中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
非线性泛函分析研讨班
Speaker: 李奎 副教授（郑州大学）
Inviter: 张志涛
Language: Chinese
Title：Classification of nonnegative solutions for some kinds of nonlinear elliptic equations
Time&Venue：2026年6月30日（星期二）10:00-11:00 & 南楼N818
Abstract: In this talk, we will discuss classification results for nonnegative solutions. Specifically, we classify these solutions for the weighted Lane-Emden equation in certain parameter ranges, and we also present new Liouville-type theorems for the high-dimensional Lane-Emden system.
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Speaker: 秦俭 博士（沈阳工业大学）
Inviter: 张志涛
Language: Chinese
Title：Prescribed energy solutions to some scaled problems via a scaled Nehari manifold
Time&Venue：2026年6月30日（星期二）11:00-12:00 & 南楼N818
Abstract: We discuss the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Nehari manifold. Applications are given to Schrödinger-Poisson-Slater type equations in [Kanishka Perera, Kaye Silva, JFA, 2025].
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