Oberseminar Funktionalanalysis und partielle Differentialgleichungen
Jan152026
14:00
Raum 711 groß
Laura Baldelli (KIT Karlsruhe): Radial symmetry in doubly critical Hardy–Sobolev quasilinear systems
This talk concerns a family of Hard-Sobolev doubly critical quasilinear systems defined on the entire Euclidean space. In particular, we investigate the radial symmetry of positive solutions to such systems by employing the moving plane method. The application of this method is highly nontrivial due to the nonlinear nature of the p-Laplace operator. Moreover, adapting standard techniques encounters additional difficulties arising from the presence of the Hardy potential. To overcome these obstacles, we employ a variant of the test function method, which in turn introduces further technical challenges.
