广州数学大讲坛第七期

第六十八讲——武汉理工大学张贻民教授学术报告


题目:Existence and blow up behavior of positive normalized solution to the Kirchhoff equation with general nonlinearities

时间:2024年10月23日(星期三) 14:00-16:30

地点: 腾讯会议( 会议ID:337-371-564)

报告人: 张贻民 教授

摘要:In present talk, I will give the existence of normalized solutions to Kirchhoff problem satisfying the normalization constraint conditions which appears in free vibrations of elastic strings. The nonlinearities considered here are very general and of mass super-critical. Under some suitable assumptions, we can prove the existence of ground state normalized solutions for any given mass. After a detailed analysis via the blow up method, we also make clear the asymptotic behavior of these solutions .