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| Home > Articles > Published articles > Divergence forms of the \infty\-Laplacian |
| Date: | 2006 |
| Abstract: | The central theme running through our investigation is the ∞-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak ∞-harmonic function in W 1,2 . To every ∞-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h = u + ıv. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | ∞-Laplacian operator ; ∞-harmonic functions |
| Published in: | Publicacions matemàtiques, V. 50 n. 1 (2006) p. 229-248, ISSN 2014-4350 |
