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数学学科现代分析及其应用研究所(2021非线性分析与偏微分方程系列报告会五十八)

发布者:戴 情   发布时间:2021-10-08  浏览次数:10

2021非线性分析与偏微分方程系列报告

报告题目 Stein-Weiss inequalities, Choquard problems, and beyond

报告人Vicentiu Radulescu(罗马尼亚 Craiova大学和罗马尼亚科学院

会议时间:1021日(周四),14:00-15:00

腾讯会议ID:  156 503 585,

https://meeting.tencent.com/dm/kjJFXP5YSQyC

 

摘要 I shall report on some recent results in collaboration with Youpei Zhang and Xianhua Tang. I will first discuss a new Stein–Weiss inequality with lack of symmetry and variable exponents. The defect of symmetry of the potential is quantified by considering the gap between the minimum and the maximum of the variable exponent. This abstract anisotropic inequality is illustrated with the existence of stationary waves for a class of nonlocal problems with Choquard nonlinearity and anisotropic Stein-Weiss potential. I conclude this talk with the thorough analysis of solutions for a related class of Choquard problems and I will be mainly interested in the asymptotic decay of solutions in the case of low or high perturbations.

 

报告人简介Vicentiu Radulescu罗马尼亚 Craiova大学和罗马尼亚科学院教授,是国际著名非线性分析研究领域的专家,其导师是法国科学院院士H. Brezis,Radulescu教授曾获罗马尼亚科学院Simion Stoilow 奖,他曾担任 Advances in Nonlinear Analysis  Nonlinear Analysis 、 Journal of Mathematical Analysis and Applications等多个高水平数学期刊的编委,已在高水平数学刊物上发表论文300余篇论文

邀请人:非线性分析与PDE团队