RT Journal Article
T1 Infinite resonant solutions and turning points in a problem with unbounded bifurcation
A1 Arrieta Algarra, José María
A1 Pardo San Gil, Rosa María
A1 Rodríguez Bernal, Aníbal
AB Summary: "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.''
PB World Scientific Publishing
SN 0218-1274
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42000
UL https://hdl.handle.net/20.500.14352/42000
LA eng
NO MEC
NO Grupo 920894 (Comunidad de Madrid - UCM, Spain)
NO MICINN
NO SIMUMAT
DS Docta Complutense
RD 29 abr 2024