具泛函边界条件的多参数椭圆型方程组的非零正解
Nonzero positive solutions of a multi-parameter elliptic system with functional BCs
摘要：
利用拓扑方法证明了一类多参数二阶椭圆型方程组在泛函边界条件下非零正弱解的存在性.设置是相当普遍的，并涵盖了多点，积分和非线性边界条件的情况。我们还提出了一个不存在的结果。我们提供了一些例子来说明我们的理论结果的适用性。
英文摘要：
We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of multi-point, integral and nonlinear boundary conditions. We also present a non-existence result. We provide some examples to illustrate the applicability our theoretical results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
