论文标题
圆锥和应用中Krasnosel'skii-Precup固定点定理的固定点索引方法
A fixed point index approach to Krasnosel'skii-Precup fixed point theorem in cones and applications
论文作者
论文摘要
我们为Krasnosel'skii压缩 - 扩张量固定点定理的向量版本提供了另一种方法，该方法基于固定点索引。它使我们能够获得此固定点定理的新常规版本，并获得了多样性结果。我们强调，所有这些都是操作员系统的共存固定点定理，这意味着获得的固定点的每个组件都是不平凡的。最后，这些共存固定点定理用于获得有关Hammerstein积分方程系统的正溶液和$（p_1，p_2）$ laplacian系统的阳性解决方案的结果。
We present an alternative approach to the vector version of Krasnosel'skii compression-expansion fixed point theorem due to Precup, which is based on the fixed point index. It allows us to obtain new general versions of this fixed point theorem and also multiplicity results. We emphasize that all of them are coexistence fixed point theorems for operator systems, that means that every component of the fixed points obtained is non-trivial. Finally, these coexistence fixed point theorems are applied to obtain results concerning the existence of positive solutions for systems of Hammerstein integral equations and radially symmetric solutions of $(p_1,p_2)$-Laplacian systems.
