PDE seminar The existence and uniqueness of a boundary blowup solution to $k$-curvature equation

2010-7-5 16:30 - 2010-7-5 17:30
Faculty of Science Building #3 Room 202
Kazuhiro Takimoto (Department of Mathematics, Hiroshima University)
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.