Divergence forms of the infinite-Laplacian

Autores: Luigi D'Onofrio , Flavia Giannetti, Tadeusz Iwaniec, Juan José Manfredi , Teresa Radice
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 50, Nº 1, 2006, págs. 229-248
Idioma: inglés
DOI: 10.5565/publmat_50106_13
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Resumen
- Ihe central theme rnnning through our investigation la the on-Laplacian operator in the plane. Upon multiplication by a suitable funetion we express it in divergence form, this allows os to speak of weak no-harmonir funetion jo 4/1,2 lo every no-harmonir function u we associate its conjogate funetion e. We focus our attention to Ihe first order Beltrami type equation for h u + iv.