Bandyopadhyay, ShalmaliChhetri, MayaDelgado, BriceydaMavinga, NsokiPardo San Gil, Rosa2023-06-172023-06-172021-05-26https://hdl.handle.net/20.500.14352/7250We 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.engjournal articleopen access517.9Elliptic problemNonlinear boundary conditionsSuperlinear and subcriticalLocal bifurcationDegree theoryGlobal bifurcation.Análisis matemáticoEcuaciones diferenciales1202 Análisis y Análisis Funcional1202.07 Ecuaciones en Diferencias