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Partial Regularity for Stationary Solutions to Liouville-Type Equation in Dimension 3 |
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| Authors: | Francesca Da Lio |
| Affiliation: | 1. Dipartimento di Matematica Pura ed Applicata , Università degli Studi di Padova , Padova , Italy dalio@math.unipd.it |
| Abstract: | In dimension n = 3, we prove that the singular set of any stationary solution to the Liouville equation ? Δ u = e u , which belongs to W 1,2, has Hausdorff dimension at most 1. |
| Keywords: | Quasilinear equations Regularity of generalized solutions |