RT Journal Article
T1 Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary
A1 Bandyopadhyay, Shalmali
A1 Chhetri, Maya
A1 Delgado, Briceyda
A1 Mavinga, Nsoki
A1 Pardo San Gil, Rosa María
AB 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.
YR 2021
FD 2021-05-26
LK https://hdl.handle.net/20.500.14352/7250
UL https://hdl.handle.net/20.500.14352/7250
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Complutense de Madrid/Banco de Santander
DS Docta Complutense
RD 6 abr 2025