Bird view of the research center
Bird view of the research center

The workshop will be held June 9-14, 2024, at Tianyuan Mathematics Research Center, Kunming, Yunnan Province, China (http://tianyuan.amss.ac.cn). The workshop is sponsored by Tianyuan Fund for Mathematics.

The workshop will cover a wide range of topics, including but not limited to the classification, regularity, and quantitative property of solutions to nonlinear partial differential equations and systems.

Confirmed Speakers

Name Affiliation
Jaeyoung Byeon Korea Advanced Institute of Science and Technology
Yuxia Guo Tsinghua University
Louis Jeanjean Université de Franche-Comté 
Yanyan Li Rutgers University
Xi-Nan Ma University of Science and Technology of China
Bernhard Ruf University of Milan
Yohei Sato Saitama University
Yannick Sire Johns Hopkins University
Futoshi Takahashi Osaka University
Kazunaga Tanaka Waseda University
Youde Wang Academy of Mathematics and System Sciences
Shusen Yan Central China Normal Unversity
Feng Zhou East China Normal University
Wenming Zou Tsinghua University

Schedule

Day 1: June 10 (Monday)

Time Speaker Title Host
8:00-8:30 Opening ceremony and group photo
8:30-09:20 Bernhard Ruf On an inequality of Bliss–Moser type Zhitao Zhang
09:30-10:20 Feng Zhou Eigenvalues of a Dirichlet problem involving fractional operator
10:30-10:50 Break
10:50-11:40 Zhi-Qiang Wang Nodal solutions for a class of coupled elliptic equations Wenming Zou
11:40-14:30 Lunch Break
14:30-15:20 Wenming Zou The classification of critical points of Heat kernel on tori and applications to elliptic equation
and minimization problem on lattice 		Kazunaga Tanaka
15:30-15:50 Break
15:50-16:40 Liming Sun Attainability of the best constant of Hardy-Sobolev inequalities with full boundary singularities Bernhard Ruf
16:50-17:40 Yohei Sato Even symmetric ground state for the nonlinear Schr"odinger system with repulsive interaction

Day 2: June 11 (Tuesday)

Time Speaker Title Host
8:30-09:20 Louis Jeanjean On the existence of prescribed \(L^2\) norm solutions for nonlinear Schr"odinger equations on metric graphs: the mass supercritical case. Zhi-Qiang Wang
09:30-10:20 Youde Wang Gradient estimates via Nash-Moser method and Liouville theorems
10:30-10:50 Break
10:50-11:40 Zhitao Zhang Some new results on normalized solutions of Schrodinger equations and systems Futoshi Takahashi
11:50-14:30 Lunch Break
14:30-15:20 Yannick Sire Eigenvalue estimates and a conjecture of Yau Jun Wang
15:30-15:50 Break
15:50-16:40 Yanyan Li Minicourse I: Some recent results on conformally invariant equations Youde Wang
16:50-17:50 Yanyan Li Minicouse II: Some recent results on conformally invariant equations

Day 3: June 12 (Wednesday)

8:30-9:20 Jaeyoung Byeon A nonsmooth critical point theory and its application to Born-Infeld equations Xi-Nan Ma
9:30-9:50 Break
9:50-10:40 Yanyan Li Minicourse III: Some recent results on conformally invariant equations Feng Zhou
10:50-11:40 Yanyan Li Minicourse IV: Some recent results on conformally invariant equations
11:50-1:30 Lunch Break
14:00-16:00 Free discussion or visit to Jiuxiang/Shilin (at your own expense)

Day 4: June 13 (Thursday)

Time Speaker Title Host
8:30-09:20 Kazunaga Tanaka Normalized solutions for nonlinear Schr"odinger equations with \(L^2\) critical nonlinearity Louis Jeanjean
09:30-10:20 Shusen Yan Stable Critical Points for the Kirchhoff-Routh Type Functions
10:30-10:50 Break
10:50-11:40 Futoshi Takahashi Asymptotic behavior of radial solutions for some weighted elliptic equations on the annulus Jaeyoung Byeon
11:50-14:30 Lunch Break
14:30-15:20 Xi-Nan Ma Jerison-Lee identities and Semi-linear subelliptic equations on CR manifolds Yannick Sire
15:30-15:50 Break
15:50-16:40 Yuxia Guo An elliptic problem with periodic boundary condition Shusen Yan

Titles and Abstracts

Download Titles and abstracts.

Location, Travel and Accommodation

Take flight to Kunming Changshui International Airport. The research center provides free shuttle service between it and the airport. The Tianyuan Fund will cover the lodging and meals for all the participants.

Organizing Committee