A Novel Variational Principle in Electrostatics and its Consequences
arXiv:1407.8285 · doi:10.1016/j.elstat.2013.07.007
Abstract
We propose a novel variational principle in electrostatics and show that one can derive mirror equation in the context of image problem starting from this principle. The corresponding Euler-Lagrange equation is seen to lead to Green's differential equation (also known as Thomson's equation).