2026-06-27T01:08:15Zhttps://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

Bandyopadhyay, Shalmali Chhetri, Maya Delgado, Briceyda Mavinga, Nsoki Pardo San Gil, Rosa María 2023-06-17T08:28:56Z 2023-06-17T08:28:56Z 2021-05-26 https://hdl.handle.net/20.500.14352/7250 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. eng open access Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary journal article