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湖南农业大学许建开副教授学术报告(11月16日)

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学术报告I

 

 

报告题目:Some Properties of Solutions for a Nonlinear Integral System

报告人:湖南农业大学理学院许建开(副教授)

报告时间:11月16日下午14:00-15:30

报告地点:数计学院4号楼229会议室

摘要: In this talk, a nonlinear integral system is considered in critical space. Some important properties of positive solutions such as symmetry, monotonicity, integrability and asymptotic behaviors, is obtained. What’s more, by comparison and analysis, we discover that those properties is am important tool to characterize the tightness of the system. 

 

学术报告II

报告题目:Some properties of positive solutions for an integral system with the double weighted Riesz potentials

报告人:湖南农业大学理学院许建开(副教授)

报告时间:11月16日下午16:00-17:30

报告地点:数计学院4号楼229会议室

摘要: In this paper, we study some important properties of positive solutions for a nonlinear integral system. With the help of the method of moving planes in an integral form, we show that all positive solutions of the integral system are radially symmetric and decreasing with respect to the origin in certain functional spaces. Furthermore, using the regularity lifting lemma, which was recently introduced by Chen and Li, we obtain the optimal integrable intervals of system 

 

 

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