What Is the Physical Meaning of Laplace Equations in Higher Dimensions?

[zhanzju]

it's konwn to all that laplace equation in 3 dimentions have clearly physical meaning,how about that in higher dimentions?
I first thought that had something to do with relativity or quantum mechenics with higher dimentions ,but it is hard to figure it out .
can anybody explain that ,thanks a lot

 

[matematikawan]

If you are thinking in term of physical meaning, the only additional dimension that I can imagine is the time dimension. So we have the space-time dimension. Is is possible to have four space dimension ?