RT Journal Article
T1 Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity
A1 Arrieta Algarra, José María
A1 Pardo San Gil, Rosa María
A1 Rodríguez Bernal, Aníbal
AB We consider an elliptic equation with a nonlinear boundary condition which is asymptotically linear at infinity and which depends on a parameter. As the parameter crosses some critical values, there appear certain resonances in the equation producing solutions that bifurcate from infinity. We study the bifurcation branches, characterize when they are sub- or supercritical and analyse the stability type of the solutions. Furthermore, we apply these results and techniques to obtain Landesman–Lazer-type conditions guaranteeing the existence of solutions in the resonant case and to obtain an anti-maximum principle
PB Cambridge University Press
SN 0308-2105
YR 2007
FD 2007-04
LK https://hdl.handle.net/20.500.14352/49721
UL https://hdl.handle.net/20.500.14352/49721
LA eng
DS Docta Complutense
RD 17 abr 2025