##  [Method of Sub- and Super-Solutions](/method-sub-and-super-solutions) 

  ##  [Method of Sub- and Super-Solutions](https://puremath.quantumdictionary.io/method-sub-and-super-solutions-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A technique for establishing existence, comparison, and sometimes uniqueness of solutions to nonlinear partial differential equations by constructing an ordered pair: a subsolution (lower bound) and a supersolution (upper bound) between which an actual solution is shown to exist.