Consider a system of weakly coupled elliptic partial differential equations where each equation in the system involves the same uniformly elliptic operator. We introduce several transformations which change the system into a system for which the classical extremum principle holds. This leads to pointwise comparison results of the component functions and, under additional assumptions, to positive solutions of the Dirichlet problem for the system.
|Original language||English (US)|
|Number of pages||8|
|Journal||Differential and Integral Equations|
|State||Published - 1991|
ASJC Scopus subject areas
- Applied Mathematics