Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Convex Analysis 28 (2021), No. 2, 495--508
Copyright Heldermann Verlag 2021



Weak Maximum Principle for Cooperative Systems: the Degenerate Elliptic Case

Italo Capuzzo Dolcetta
Dip. di Matematica, UniversitÓ La Sapienza, Rome, Italy
capuzzo@mat.uniroma1.it

Antonio Vitolo
Dip. di Ingegneria, UniversitÓ di Salerno, Fisciano, Italy
vitolo@unisa.it



We consider cooperative systems of nonlinear degenerate elliptic equations. Conditions for the validity of the weak Maximum Principle are obtained through a reduction to a single scalar equation. A suitable index related to the principal eigenvalues of the Dirichlet problems for the operators involved in the system is introduced. The positivity of this index enforces the validity of the weak Maximum Principle.

Keywords: Nonlinear elliptic systems, maximum principles, principal eigenvalues.

MSC: 35J47, 35J70, 35B50, 35P30, 35D40.

[ Fulltext-pdf  (130  KB)] for subscribers only.