几何分析系列报告之22【韩　青】

Abstract: It is well-known that the Kelvin transform plays an important role in studying harmonic functions. With the Kelvin transform, the study of harmonic functions near infinity is equivalent to studying the transformed harmonic functions near the origin. In this talk, we will demonstrate that the Kelvin transform also plays an important role in studying asymptotic behaviors of solutions of nonlinear elliptic near infinity. We will study solutions of the minimal surface equation, the Monge-Ampere equation, and the special Lagrange equation and prove an optimal decomposition of solutions near infinity.