RT Journal Article
T1 On bifurcation from infinity: a compactification approach
A1 Arrieta Algarra, José María
A1 Fernandes, Juliana
A1 Lappicy, Phillipo
AB We consider a scalar parabolic partial differential equation on the interval with nonlinear boundary conditions that are asymptotically sublinear. As the parameter crosses critical values (e.g. the Steklov eigenvalues), it is known that there are large equilibria that arise through a bifurcation from infinity (i.e., such equilibria converge, after rescaling, to the Steklov eigenfunctions). We provide a compactification approach to the study of such unbounded bifurcation curves of equilibria, their stability, and heteroclinic orbits. In particular, we construct an induced semiflow at infinity such that the Steklov eigenfunctions are equilibria. Moreover, we prove the existence of infinite-time blow-up solutions that converge, after rescaling, to certain eigenfunctions that are equilibria of the induced semiflow at infinity.
PB Springer Nature Link
SN 0944-2669
SN 1432-0835
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/124730
UL https://hdl.handle.net/20.500.14352/124730
LA eng
NO Arrieta, J. M., Fernandes, J., & Lappicy, P. On bifurcation from infinity: a compactification approach. Calculus of Variations and Partial Differential Equations. 2025; 64(3): 1-18.
NO Acuerdos Transformativos CRUE 2025
DS Docta Complutense
RD 20 ene 2026