TY  - THES
A1  - Saldaña de Fuentes, Alberto
T1  - Partial symmetries of solutions to nonlinear elliptic and parabolic problems in bounded radial domains
N2  - We consider a class of nonautonomous nonlinear competitive parabolic systems on bounded radial domains under Neumann or Dirichlet boundary conditions. We show that, if the initial profiles satisfy a reflection inequality with respect to a hyperplane, then bounded positive solutions are asymptotically (in time) foliated Schwarz symmetric with respect to antipodal points. Additionally, a related result for (positive and sign changing solutions) of scalar equations with Neumann or Dirichlet boundary conditions is given. The asymptotic shape of solutions to cooperative systems is also discussed.
KW  - Lotka-Volterra system
KW  - cooperative systems
KW  - foliated Schwarz symmetry
KW  - rotating plane method
Y1  - 2014
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/34421
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-344219
PB  - Univ.-Bibliothek
CY  - Frankfurt am Main
ER  -