2026-06-28T09:43:08Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/72502024-09-30T15:55:50Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Bandyopadhyay, Shalmali author Chhetri, Maya author Delgado, Briceyda author Mavinga, Nsoki author Pardo San Gil, Rosa María author 2021-05-26 We consider an elliptic problem with nonlinear boundary condition involving nonlinearity with superlinear and subcritical growth at infinity and a bifurcation parameter as a factor. We use rescaling method, degree theory and continuation theorem to prove that there exists a connected branch of positive solutions bifurcating from infinity when the parameter goes to zero. Moreover, if the nonlinearity satisfies additional conditions near zero, we establish a global bifurcation result, and discuss the number of positive solution(s) with respect to the parameter using bifurcation theory and degree theory. https://hdl.handle.net/20.500.14352/7250 Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary