Bogomol'nyi Prasad Sommerfield bound
The Bogomol'nyi Prasad Sommerfield bound
refers to a series of inequalities
for solutions of partial differential equations depending on the homotopy class of the solution at infinity. This set of inequalities is very useful for solving soliton
equations. Often, by insisting that the bound is satisfied (called "saturated"), we can come up with a simpler set of partial differential equations to solve.
- See Instanton
- Incomplete: Yang-Mills-Higgs partial differential equations.