 ##  [Perron's Method](/perrons-method) 

  ##  [Perron's Method](https://mathlogic.quantumdictionary.io/perrons-method-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A constructive technique for solving Dirichlet boundary value problems for certain elliptic partial differential equations by taking the supremum of a family of subharmonic (or subsolution) functions that are bounded above by the prescribed boundary data.