环域上一类具有非局部BC的椭圆型方程组的非零径向解
Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
摘要：
本文给出了Hammerstein型积分方程系统非平凡解的存在性、非存在性、局部性和多重性的新结果。一些标准涉及与一些相关的线性算子的谱半径的比较。我们应用我们的结果证明了某些椭圆型边值问题方程组在非局部边界条件下多个非零径向解的存在性。我们的方法是拓扑的，并依赖于经典的不动点指数。我们提出了一个例子来说明我们的理论。
英文摘要：
We provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations. Some of the criteria involve a comparison with the spectral radii of some associated linear operators. We apply our results to prove the existence of multiple nonzero radial solutions for some systems of elliptic boundary value problems subject to nonlocal boundary conditions. Our approach is topological and relies on the classical fixed point index. We present an example to illustrate our theory.
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