Some minimum principles for a class of elliptic boundary value problems

Abstract

In this article, we establish a general inequality from which we derive some minimum principles valid for solutions of a class of elliptic boundary value problems.

Keywords:

• Minimum principles
• Second order elliptic boundary value problems
• Mathematics Subject Classifications: 35B50
• 35J25

Acknowledgment

The second author is indebted to the Department of Mathematics and Statistics of the Université Laval in Québec for hospitality during the preparation of this article.

Notes

^†E-mail: [email protected]

Additional information

Notes on contributors

A. Safoui †

†E-mail: [email protected]