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  • Journées équations aux dérivées partielles
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On ∞-harmonic functions
Thierry De Pauw1
1 Université catholique de Louvain Département de mathématiques Chemin du cyclotron, 2 B-1348 Louvain-la-Neuve Belgique
Journées équations aux dérivées partielles (2007), article no. 2, 11 p.
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DOI: 10.5802/jedp.41
Author's affiliations:
Thierry De Pauw 1

1 Université catholique de Louvain Département de mathématiques Chemin du cyclotron, 2 B-1348 Louvain-la-Neuve Belgique
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     author = {Thierry De~Pauw},
     title = {On $\infty $-harmonic functions},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {2},
     pages = {1--11},
     publisher = {Groupement de recherche 2434 du CNRS},
     year = {2007},
     doi = {10.5802/jedp.41},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.41/}
}
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PB  - Groupement de recherche 2434 du CNRS
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DO  - 10.5802/jedp.41
LA  - en
ID  - JEDP_2007____A2_0
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%0 Journal Article
%A Thierry De Pauw
%T On $\infty $-harmonic functions
%J Journées équations aux dérivées partielles
%D 2007
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%R 10.5802/jedp.41
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Thierry De Pauw. On $\infty $-harmonic functions. Journées équations aux dérivées partielles (2007), article  no. 2, 11 p. doi : 10.5802/jedp.41. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.41/
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[1] G. Aronsson; M.G. Crandall; P. Juutinen A tour of the theory of absolutely minimizing functions, Bull. Amer. Math. Soc., Volume 41 (2004) no. 4, pp. 439-505 | MR | Zbl

[2] M.G. Crandall; L.C. Evans A remark on infinity harmonic functions, Electron. J. Diff. Eqns., Volume Conf. 06 (2001), pp. 123-129 | MR | Zbl

[3] M.G. Crandall; H. Ishii; P.L. Lions User’s guide to viscosity solutions of second-order partial differential equations, Bull. Amer. Math. Soc., Volume 27 (1992), pp. 1-67 | MR | Zbl

[4] L. D’Onofrio; F. Giannetti; T. Iwaniec; J. Manfredi; T. Radice Divergence forms of the infinity-laplacian, Publ. Mat., Volume 50 (2006) no. 1, pp. 229-248 | MR

[5] L.C. Evans Estimates for smooth absolutely minimizing Lipschitz extensions, Electron. J. Diff. Eqns., Volume 1993 (1993) no. 3, pp. 1-9 | MR | Zbl

[6] L.C. Evans; Y. Yu Various properties of solutions of the infinity-laplacian equation, Comm. Partial Differential Equations, Volume 30 (2005) no. 9, pp. 1401-1428 | MR | Zbl

[7] H. Federer Geometric Measure Theory, Die grundlehren der mathematischen wissenschaften, 153, Springer-Verlag, New York, 1969 | MR | Zbl

[8] O. Savin C 1 regularity for infinity-harmonic functions in two dimensions, Arch. Ration. Mech. Anal., Volume 176 (2005), pp. 351-361 | MR | Zbl

[9] Y. Yu A remark on C 2 infinity-harmonic functions, Electron. J. Diff. Eqns., Volume 2006 (2006) no. 122, pp. 1-4 | Zbl

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