中科院数学与系统科学研究院
数学研究所
非线性分析研讨班
报告人：栾世霞 教授（曲阜师范大学）
题 目：The Existence of Solutions for the Kirchhoff Type Problem with critical growth in RN
时 间：2020.11.14（星期六），09:00-10:00
地 点：腾讯会议 199 276 798
摘 要：In this talk, we consider a class of Kirchhoff type problem with critical growth in RN. By using the generalized mountain-pass theorem, we obtain the existence and non-existence results under suitable conditions on potential functions and nonlinearities. By using the Nehari manifold, we obtain a ground state solution for equation.
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报告人：柯晓峰 副教授（西南大学）
题 目：Existence and multiplicity of solutions to superlinear Lane-Emden systems
时 间：2020.11.14（星期六），10:10-11:10
地 点：腾讯会议 199 276 798
摘 要：We study the existence and multiplicity of solutions to superlinear Lane-Emden systems. By applying a class of very weak superlinear condition which we proposed recently, the existence of a nontrivial solution is proved by using variational method. Moreover, infinitely many solutions are obtained.
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