A Morse-Smale index theorem for indefinite elliptic systems and bifurcation (vol 258, pg 1715, 2015)

[摘要] We discussed in a previous paper elliptic systems of partial differential equations on star-shaped domains and introduced the notions of conjugate radius and bifurcation radius. We proved that every bifurcation radius is a conjugate radius, and believed to have shown by an example that on the other hand not every conjugate radius is a bifurcation radius. This note reveals that our previous example was wrong, but it also introduces an improved example that shows the assertion that we claimed before. (c) 2017 Elsevier Inc. All rights reserved.

[发布日期] 2018-02-15