论文标题
在半线性非本地椭圆系统的研究中
On the study of semilinear non-local elliptic systems
论文作者
论文摘要
本文的目的是研究由分数laplacian驱动的半线性椭圆系统的解决方案,并建立了一些新的存在结果,这些结果是通过局部链接定理和鞍点定理获得的。为了使非线性方案可行,需要对所涉及的功能空间进行严格分析,并且必须进行相应的能量功能。
The purpose of this paper is to study the existence of solutions for semilinear elliptic system driven by fractional Laplacian and establish some new existence results which are obtained by virtue of the local linking theorem and the saddle point theorem. To make the nonlinear scheme feasible, rigorous analysis of the function space involved and corresponding energy functional is necessary.