%0 Journal Article
%A Mavinga, Nsoki
%A Pardo San Gil, Rosa María
%T Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions
%D 2017
%U https://hdl.handle.net/20.500.14352/18101
%X 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.
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