Arrieta Algarra, José MaríaPardo San Gil, Rosa MaríaRodríguez Bernal, Aníbal2023-06-202023-06-2020100218-127410.1142/S021812741002743Xhttps://hdl.handle.net/20.500.14352/42000Summary: "We consider an elliptic equation −Δu+u=0 with nonlinear boundary conditions ∂u/∂n=λu+g(λ,x,u) , where (g(λ,x,s))/s→0 as |s|→∞ . In [Proc. Roy. Soc. Edinburgh Sect. A 137 (2007), no. 2, 225--252; MR2360769 (2009d:35194); J. Differential Equations 246 (2009), no. 5, 2055--2080; MR2494699 (2010c:35016)] the authors proved the existence of unbounded branches of solutions near a Steklov eigenvalue of odd multiplicity and, among other things, provided tools to decide whether the branch is subcritical or supercritical. In this work, we give conditions on the nonlinearity, guaranteeing the existence of a bifurcating branch which is neither subcritical nor supercritical, having an infinite number of turning points and an infinite number of resonant solutions.''engInfinite resonant solutions and turning points in a problem with unbounded bifurcationjournal articlehttp://www.worldscinet.com/ijbc/ijbc.shtmlopen access517.9Bifurcation from infinityNonlinear boundary conditionsSteklov eigenvaluesTurning pointsResonant solutionsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias