EqWorld logo


The World of Mathematical Equations

IPM Logo

Home Page Exact Solutions Methods Software Education About This Site Math Forums

Exact Solutions > Linear Partial Differential Equations > Second-Order Elliptic Partial Differential Equations

PDF version of this page

3. Linear Elliptic Equations

  1. Δw = 0.    Laplace equation.
  2. Δw + Φ(x) = 0.    Poisson equation.
  3. Δw + λw = −Φ(x).    Helmholtz equation.

The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.

Copyright © 2004-2017 Andrei D. Polyanin