Divergence forms of the infinity-Laplacian.
D'Onofrio, Luigi ; Giannetti, Flavia ; Iwaniec, Tadeusz ; Manfredi, Juan ; Radice, Teresa
Publicacions Matemàtiques, Tome 50 (2006), p. 229-248 / Harvested from Biblioteca Digital de Matemáticas
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The central theme running through our investigation is the infinity-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak infinity-harmonic function in W1,2. To every infinity-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h= u + iv

Publié le : 2006-01-01
DMLE-ID : 4091 
@article{urn:eudml:doc:41586,
     title = {Divergence forms of the infinity-Laplacian.},
     journal = {Publicacions Matem\`atiques},
     volume = {50},
     year = {2006},
     pages = {229-248},
     zbl = {05207316},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41586}
}

D'Onofrio, Luigi; Giannetti, Flavia; Iwaniec, Tadeusz; Manfredi, Juan; Radice, Teresa. Divergence forms of the infinity-Laplacian.. Publicacions Matemàtiques, Tome 50 (2006) pp. 229-248. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41586/