Arsip Kuliah Umum・Semester Gasal 2011/2012
201111/17Kam Kuliah Umum

The existence of a positive solution for the elliptic equation involving the singularity on the boundary

Prof. Hidemitsu WadadeWaseda University 下午 4:10–5:00 Gedung Hongjing 107 室
Abstract: In this talk, we are concerned with the elliptic equation involving the Sobolev-Hardy type nonlinearities with the singularity on the boundary. As a result, we can show the existence of a positive solution provided that the mean curvature at the singularity is strictly negative, where we put the Sobolev type and the Sobolev-Hardy nonlinearities at the same time to the equation.