Back Elliptische partielle Differentialgleichung German Ecuación diferencial parcial elíptica Spanish معادلات دیفرانسیل با مشتقات جزئی بیضوی Persian Équation aux dérivées partielles elliptique French Equazione differenziale alle derivate parziali ellittica Italian 楕円型偏微分方程式 Japanese Elliptisk partiell differensialligning NB Эллиптическое уравнение Russian Ekuacioni diferencial i pjesshëm eliptik Albanian Диференціальне рівняння еліптичного типу Ukrainian
In mathematics, an elliptic partial differential equation is a type of partial differential equation (PDE). In mathematical modeling, elliptic PDEs are frequently used to model steady states, unlike parabolic PDE and hyperbolic PDE which generally model phenomena that change in time. They are also important in pure mathematics, where they are fundamental to various fields of research such as differential geometry and optimal transport.