Article ID: MTJPAM-D-24-00049

Title: A note on the Farkas’ Lemma and the maximum principle for elliptic PDEs


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-24-00049; Volume 7 / Issue 3 / Year 2025, Pages 12-15

Document Type: Research Paper

Author(s): ‪Jesús Ildefonso Díaz a

aInstituto de Matematica Interdisciplinar (IMI), Dpto. Análisis Matemático y Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain

Received: 15 April 2024, Accepted: 16 July 2024, Published: 27 July 2024

Corresponding Author: Jesús Ildefonso Díaz (Email address: jidiaz@ucm.es)

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Abstract

Motivated by a lecture by Richard Aron in the Complutense University of Madrid, we present an extension of the 1902 Farkas’ Lemma on combination of nonnegative elements to the framework of the maximum principle for higher order elliptic partial differential equations.

Keywords: Farkas’ Lemma, higher order elliptic partial differential equations, maximum principle

References:
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Cite this article

How to cite this article: ‪J. I. Díaz, A note on the Farkas’ Lemma and the maximum principle for elliptic PDEs, Montes Taurus J. Pure Appl. Math. 7 (3), 12-15, 2025; Article ID: MTJPAM-D-24-00049.