RT Journal Article
T1 Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions
A1 Mavinga, Nsoki
A1 Pardo San Gil, Rosa María
AB We consider reaction–diffusion equations under nonlinear boundary conditions where the nonlinearities are asymptotically linear at infinity and depend on a parameter. We prove that, as the parameter crosses some critical values, a resonance-type phenomenon provides solutions that bifurcate from infinity. We characterize the bifurcated branches when they are sub- or supercritical. We obtain both Landesman–Lazer-type conditions that guarantee the existence of solutions in the resonant case and an anti-maximum principle.
PB Cambridge University Press
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/18101
UL https://hdl.handle.net/20.500.14352/18101
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 9 abr 2025