Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary

Impacto

Downloads

Downloads per month over past year



Bandyopadhyay, Shalmali and Chhetri, Maya and Delgado, Briceyda and Mavinga, Nsoki and Pardo San Gil, Rosa (2021) Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary. (Unpublished)

[thumbnail of pardo_bifurcation.pdf]
Preview
PDF
274kB


Abstract

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.


Item Type:Article
Uncontrolled Keywords:Elliptic problem, Nonlinear boundary conditions, Superlinear and subcritical, Local bifurcation, Degree theory, Global bifurcation.
Subjects:Sciences > Mathematics > Mathematical analysis
Sciences > Mathematics > Differential equations
ID Code:74347
Deposited On:06 Sep 2022 10:11
Last Modified:06 Sep 2022 11:29

Origin of downloads

Repository Staff Only: item control page