论文标题
具有功能项的分数拉普拉斯系统的非零阳性溶液
Nonzero positive solutions of fractional Laplacian systems with functional terms
论文作者
论文摘要
我们研究了由拉普拉斯分数驱动的一类微分方程系统的非零阳性解决方案的存在。我们的方法基于固定点索引的概念,使我们能够处理非本地功能权重和功能边界条件。我们提供了两个例子,以阐明我们方法可以考虑的功能和生长条件的类型。
We study the existence of non-zero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the notion of fixed point index, and allows us to deal with non-local functional weights and functional boundary conditions. We present two examples to shed light on the type of functionals and growth conditions that can be considered with our approach.