Wave Seminar Uniqueness of positive radial solutions to semilinear elliptic equations with double power nonlinearity on an annulus

2007-10-26 16:00 - 2007-10-26 17:30
Faculty of Science Building #4 Room 409
Shinji Kawano (Hokkaido Univ.)
In this talk we consider uniqueness of positive radial solutions tosemilinear elliptic equations with double power nonlinearity, subject toDirichlet boudary condition on an annulus.For single power cases, M. Tang `03 has given a complete resolution tothis uniqueness problem.For double power cases, it seems difficult since the sign of the secondorder derivative of the nonlinearity term changes.