KnowraLaplace's equationLinked fromLinked fromThe 33 pages that link to Laplace's equation, each with the reason it gives.All 33Broader topic 6Related 21Compared with 6Partial differential equationBroader topic: It models steady states without internal sources and exemplifies elliptic behavior.Pierre-Simon LaplaceBroader topic: It expresses the mathematical structure underlying important results in Laplace’s potential theory.Elliptic partial differential equationBroader topic: It is the prototype elliptic equation for source-free equilibrium fields.LaplacianBroader topic: This named equation became a defining setting for the operator in potential theory.Elliptic regularityBroader topic: Its solutions are smooth in the interior, a basic instance of elliptic regularity.Elliptic operatorBroader topic: Its solutions exemplify the smoothness and mean-value behavior of elliptic equations.