# 学术报告：2021年04月24日 09:00-10:00-华中师范大学-郑高峰

$$\De^{2}u=\De(V\cdot\na u)+{\rm div}(w\na u)+(\na\om+F)\cdot\na u+f$$

indimension four, with an inhomogeneous term $f$ which belongs to some natural function space. We obtain optimal higher orderregularity and sharp H\older continuity of weak solutions. Among several applications, we derive weak compactness forsequences of weak solutions with uniformly bounded energy, which generalizes the weak convergence theory of approximate biharmonic mappings. This is a joint work with Professor Changyu Guo and Professor Changlin Xiang.