Some comparison principles for weakly coupled systems of elliptic equations

George Cosner, Philip W. Schaefer, Klaus Schmitt

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)555-562
Number of pages8
JournalDifferential and Integral Equations
Volume4
Issue number3
StatePublished - 1991

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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