| Abstract: |
| In this talk, we present a Liouville-type theorem for a weighted higher-order elliptic system, which holds in a wider range of exponents characterized by a critical curve. Our approach consists of two main steps. First, we establish a corresponding Liouville-type result for the associated integral system. Then, using superharmonic properties of the differential system, we show the equivalence between the elliptic system and the integral system. This extends and improves existing results in the literature. |
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