2024-11-145.1.4具有极轴转动对称性的拉普拉斯问题求解拉普拉斯方程的球坐标系解法\[\begin{cases}\frac{1}{r^2}\frac{\partial}{\partialr}\left(r^2\frac{\partialu}{\partialr}\right)+\frac{1}{r^2\sin\theta}\frac{\partial}{\partial\theta}\left(\sin\theta\frac{\partialu}{\partial\theta}\right)=0,