论文标题
大球帽上的Gelfand问题
Gelfand problem on a large spherical cap
论文作者
论文摘要
我们研究了在Dirichlet边界条件下的球形帽上对Gelfand问题的最小解决方案的行为。当CAP接近整个球体时，讨论了溶液的渐近行为。结果基于我们在这项工作中得出的原理特征值对球形帽的扭转功能的清晰估计。
We study the behaviour of the minimal solution to the Gelfand problem on a spherical cap under the Dirichlet boundary conditions. The asymptotic behaviour of the solution is discussed as the cap approaches the whole sphere. The results are based on the sharp estimate of the torsion function of the spherical cap in terms of the principle eigenvalue which we derive in this work.
