## 偏微分方程式セミナー The existence and uniqueness of a boundary blowup solution to $k$-curvature equation

2010年 　 7月 5日 16時 30分 ～ 2010年 　 7月 5日 17時 30分

The boundary blowup problem arises from physics, geometry and many branches of

mathematics. In this talk we consider the existence and uniqueness of a solution to the

boundary blowup problem for the curvature equation of the form $H_k[u]=f(u)g(|Du|)$,

which is determined by the $k$-th elementary symmetric function.