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arXiv · 2507.17465

On a global estimate and a Stampacchia-type maximum principle for Lane-Emden systems

Leandro G. Fernandes Jr.·Edir J. F. Leite
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Abstract

We establish a global boundedness result for Lane-Emden systems involving general second-order elliptic operators in divergence form and arbitrary positive exponents whose product equals one. Furthermore, we observe that, for this class of systems -- and for certain operators in divergence form, including the case when both operators are the Laplacian -- it is not possible to recover the classical Stampacchia maximum principle as a particular case corresponding to single equations.

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Leandro G. Fernandes Jr., Edir J. F. Leite. 2025-07-23. On a global estimate and a Stampacchia-type maximum principle for Lane-Emden systems. https://arxiv.org/abs/2507.17465

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