Regularity of the extremal solutions for the Liouville system
Louis Dupaigne (LAMFA), Boyan Sirakov (MODAL'X), Alberto Farina, (LAMFA)
TL;DR
This paper investigates the smoothness properties of extremal solutions to the Liouville system, providing insights into their regularity and potential singularities.
Contribution
It offers new results on the regularity of extremal solutions for the Liouville system, advancing understanding of their smoothness conditions.
Findings
Extremal solutions are smooth under certain conditions.
Identification of scenarios leading to singular solutions.
Enhanced understanding of the Liouville system's extremal behavior.
Abstract
In this short note, we study the smoothness of the extremal solutions to the Liouville system
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems