The 40th Anniversary of Shenzhen University and the 40th Anniversary of Mathematics Department

Liyuan scholar Colloquiumfifty-two

Lecture title:Bounded solutions of 1-D Q-curvature equation

Speaker:Prof. Meiyue Jiang(Peking University)

Lecture:Monday, November 27, 2023, 10:30-11:30am

Lecture location:Classroom No. 4, 1/F, Hui Xing Building, Yuehai Campus, Shenzhen University, China

Overview: In this talk we will discuss the bounded solutions of the following 1-D Q-curvature equationA solutionof the above equation defined onis called bounded if there exists

such that

In particular, periodic and quasi-periodic solutions are bounded. We will classify all bounded solutions of the above equation. We will classify all bounded solutions of the above equation.

Speaker Introduction: Meiyue Jiang, Professor of School of Mathematical Sciences, Peking University, Ph.D. He received his Ph.D. degree from Peking University in July 1989, and has been a professor at the School of Mathematical Sciences, Peking University, since 1999. His main research interests are in the field of nonlinear analysis and nonlinear differential equations, includingthe existence of periodic solutions of Hamiltonian systems, the Arnold conjecture for the intersection of the Lagrange subfluidic manifold in sinusoidal geometry, the ROF generalized minima problem, and the eigenvalue problem of 1-Laplace operators. conjecture, the ROF generalized minimal problem, and the eigenvalue problem of the 1-Laplace operator. He is responsible for a number of projects of the National Natural Science Foundation of China, and has been published in major academic journals in China and abroad, such as Ann. Inst. H. Poincare Anal. Equations, Proc. Roy. Soc. Edinburgh Sect. A, etc. He has published many papers with international influence, and has also visited and exchanged with many foreign universities and institutes as a visiting scholar.

Teachers and students are welcome to participate!

School of Mathematical Sciences

November 21, 2023