讲座题目: Non-autonomous double phase problems with unbalanced growth

讲 座 人: Radulescu教授，博导，罗马尼亚国家科学院

讲座时间: 2023年3月23日(星期四)  下午19:00-20:00

讲座地点: 腾讯会议 (ID: 990 442 0255)

讲座内容:

I shall report on a recent paper jointly with N. Papageorgiou and A. Pudelko (Math. Annalen, 2023). We consider a nonlinear elliptic Dirichlet equation driven by a double phase operator and a smooth reaction term. We first conduct a detailed spectral analysis of the double phase operator. In the final part of this talk, we use the results of this analysis to prove existence and multiplicity properties for problems in which there is resonance asymptotically at infinity.

Radulescu教授简介:

Vicentiu Radulescu教授，博士毕业于巴黎索邦大学,师从世界著名偏微分方程专家Haim Brezis教授。Radulescu教授主要在非线性分析和非线性椭圆型偏微分方程方面有着很深的学术造诣和威望,出版专著10部,发表高水平和高影响的学术论文450余篇,论文发表在J. Math. Pures Appl.,Math. Annalen, Math. Z., Transactions AMS, Israel J. Math., J. Differential Equations等国际知名学术期刊上。 Radulescu教授现任《Advances in Nonlinear Analysis》等高水平数学期刊的主编。 Radulescu教授是中国-罗马尼亚应用数学研究中心的创始人。