2026-08-22T19:39:35Zhttps://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

Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary Bandyopadhyay, Shalmali Chhetri, Maya Delgado, Briceyda Mavinga, Nsoki Pardo San Gil, Rosa María 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. 2023-06-17T08:28:56Z 2023-06-17T08:28:56Z 2023-06-17T08:28:56Z 2021-05-26 journal article https://hdl.handle.net/20.500.14352/7250 XXXX-XXXX eng PID2019-103860GB-I GR58/08, Grupo 92089 open access