Infinitely Many Stability Switches in a Problem with Sublinear Oscillatory Boundary Conditions

Authors

Alfonso Castro, Harvey Mudd CollegeFollow
Rosa Pardo, Universidad Complutense de Madrid

Document Type

Article

Department

Mathematics (HMC)

Publication Date

4-2017

Abstract

We consider the elliptic equation −u+u = 0 with nonlinear boundary condition ∂u ∂n = λu + g(λ, x, u), where g(λ,x,s) s → 0, as |s|→∞ and g is oscillatory. We provide sufficient conditions on g for the existence of unbounded sequences of stable solutions, unstable solutions, and turning points, even in the absence of resonant solutions.

Comments

Author's post-print manuscript available for download.

For the publisher's PDF, please visit https://doi.org/10.1007/s10884-017-9588-0.

Rights Information

© 2017 Springer-Verlag

Terms of Use & License Information

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

DOI

10.1007/s10884-017-9588-0

Recommended Citation

Castro, A., Pardo, R. Infinitely Many Stability Switches in a Problem with Sublinear Oscillatory Boundary Conditions. J Dyn Diff Equat 29, 485–499 (2017).