论文标题
球体上的参数性半线性椭圆系统的解决方案的结构
Structure of sets of solutions of parametrised semi-linear elliptic systems on spheres
论文作者
论文摘要
在本文中,我们研究了一个球体上的参数性的非合作对称半线性椭圆系统。假设存在潜力的关键轨道,我们研究了系统解决方案集合的结构。特别是,使用含量的Rabinowitz替代方案,我们为无界溶液组分叉制定了足够的条件。
In this paper we study a parametrised non-cooperative symmetric semi-linear elliptic system on a sphere. Assuming that there exist critical orbits of the potential, we study the structure of the sets of solutions of the system. In particular, using the equivariant Rabinowitz Alternative we formulate sufficient conditions for a bifurcation of unbounded sets of solutions.