Laplace equation

For the differential equation given below, which one of the following options is correct? ∂²u/∂x² + ∂²u/∂y² = 0 0 ≤ x ≤ 1, 0 ≤ y ≤ 1

For the differential equation given below, which one of the following options is correct? $$ \frac{\partial^2 u}{\partial x^2}+\frac{\partial^2 u}{\partial y^2}=0,0 \leq x \leq 1,0...

Solution of ∇ 2 T = 0 in a square domain (0 < x < 1 and 0 < y < 1) with boundary conditions: T(x, 0) = x; T(0, y) = y; T(x, 1) = 1 + x; T(1, y) = 1 + y is

Solutions of Laplace's equation having continuous second-order partial derivatives are called