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.
Leonetti, F., Macrì, M., Nastasi, A., Zhang, A. (2026). Maximum principle for a class of nonlinear elliptic systems. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 557(1), 1-10 [10.1016/j.jmaa.2025.130252].
Maximum principle for a class of nonlinear elliptic systems
Nastasi, AntonellaCo-primo
;
2026-05-01
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.
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