Bifurcation From Infinity With Oscillatory Nonlinearity For Neumann Problems

Authors

M. Chhetri
Nsoki Mavinga, Swarthmore CollegeFollow
R. Pardo

Document Type

Article

Publication Date

7-20-2023

Published In

Electronic Journal Of Differential Equations

Abstract

We consider a sublinear perturbation of an elliptic eigenvalue problem with Neumann boundary condition. We give sufficient conditions on the nonlinear perturbation which guarantee that the unbounded continuum, bifurcating from infinity at the first eigenvalue, contains an unbounded sequence of turning points as well as an unbounded sequence of resonant solutions. We prove our result by using bifurcation theory combined with a careful analysis of the oscillatory behavior of the continuum near the bifurcation point.

Keywords

Bifurcation from infinity, oscillatory nonlinearity, turning points, Neumann boundary condition, resonant solutions

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Comments

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Recommended Citation

M. Chhetri, Nsoki Mavinga, and R. Pardo. (2023). "Bifurcation From Infinity With Oscillatory Nonlinearity For Neumann Problems". Electronic Journal Of Differential Equations. Volume 3, Issue Special Issue 1. 279-292. DOI: 10.58997/ejde.sp.01.c5
https://works.swarthmore.edu/fac-math-stat/289