Maximum principle for a class of nonlinear elliptic systems

We prove a maximum principle result for a class of nonlinear elliptic systems of the form−div(A(x,u(x),Du(x)))=0x∈Ω. The result is obtained by assuming a componentwise sign condition.

Authors

Antonella Nastasi (ORCID: https://orcid.org/0000-0003-1589-2235)
Marta Macrì (ORCID: https://orcid.org/0000-0002-0796-9872)
Francesco Leonetti (ORCID: https://orcid.org/0000-0003-3874-5203)
Aiping Zhang (ORCID: https://orcid.org/0000-0002-6828-7891)

Publication Details

Journal: Journal of Mathematical Analysis and Applications
Published: 2025-11-20
DOI: https://doi.org/10.1016/j.jmaa.2025.130252
Citations: 1
Primary Topic: Nonlinear Partial Differential Equations
Type: article
Field-Weighted Citation Impact: 3.73

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article

Maximum principle for a class of nonlinear elliptic systems

Antonella Nastasi, Marta Macrì, Francesco Leonetti, Aiping Zhang

Nov 20, 2025

1 citations

Journal of Mathematical Analysis and Applications

Nonlinear Partial Differential Equations

3.73

article

Maximum principle for a class of nonlinear elliptic systems

Antonella Nastasi, Marta Macrì, Francesco Leonetti, Aiping Zhang

November 20, 2025article en

1 citations

Abstract

We prove a maximum principle result for a class of nonlinear elliptic systems of the form−div(A(x,u(x),Du(x)))=0x∈Ω. The result is obtained by assuming a componentwise sign condition.

Journal of Mathematical Analysis and ApplicationsVol. 557(1)

Openalex Percentile: Top 6%

Nonlinear Partial Differential Equations

3.73

DOI Open Access PDF OpenAlex

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Maximum principle for a class of nonlinear elliptic systems — Antonella Nastasi, Marta Macrì, et al. · Journal of Mathematical Analysis and Applications (2025) | TGRS Research Map | TGRS