论文标题
使用变异方法对Prandtl批次问题的研究
A study of the Prandtl Batchelor problem using variational method
论文作者
论文摘要
在本文中，我们研究了由功率非线性驱动的prandtl-batchelor型自由边界值的非平凡弱解的存在。代数拓扑方法将用于确定近似问题的解决方案的存在，而变异技术将用于确定主要问题解决方案的存在。在此过程中，几种经典结果得到了改善。
In this paper, we investigate the existence of nontrivial weak solutions for the Prandtl-Batchelor type free boundary value elliptic problem driven by a power nonlinearity. The algebraic topology approach will be used to establish the existence of solutions of approximate problem, while variational techniques will be used to determine the existence of major problem solutions. In the process several classical results are improved.
