PDE Seminar On uniqueness of positive solutions to semilinear elliptic equations

2007-05-07 16:30 - 2007-05-07 17:30
Faculty of Science Building #8 Room 309
KAWANO Shinji (Hokkaido Univ.)
We shall consider semilinear elliptic equations in the whole space.We are interested in the single power nonlinearity and the double powernonlinearity. Firstly we survey these classical results, namely theexistence and uniqueness of positive smooth decreasing solutions.We secondly see what still remains open with respect to the nature ofthese solutions, introducing our recent results.