Earnshaw's theorem uses the Laplace equation to show that stable static ferromagnetic suspension is impossible Vector Laplacian Fundamental solution Notes References Further reading * External links Laplace Equation (particular solutions and boundary value problems) at EqWorld: The World of Mathematical Equations. Example initial-boundary value problems using Laplace's equation from exampleproblems.com. Find out how boundary value problems governed by Laplace's equation may be solved numerically by boundary element method Elliptic partial differential equations Harmonic functions Equations Fourier analysis Equation