Document Zbl 0402.30022

A Hölder estimate for quasiconformal maps between surfaces in Euclidean space. (English) Zbl 0402.30022

Acta Math. 139, 19-51 (1977).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0402.30022

MSC:

30C62	Quasiconformal mappings in the complex plane
53C42	Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
35J15	Second-order elliptic equations
58A05	Differentiable manifolds, foundations

Citations:

Zbl 0018.40501; Zbl 0050.09801; Zbl 0354.35040

Cite Review PDF

Full Text: DOI

References:

[1]	Jenkins, H., On 2-dimensional variational problems in parametric form.Arch. Rat. Mech. Anal., 8 (1961), 181–206. · Zbl 0143.14804 · doi:10.1007/BF00277437
[2]	Morrey, C. B., On the solutions of quasi-linear elliptic partial differential equations.Trans. Amer. Math. Soc., 43 (1938), 126–166. · Zbl 0018.40501 · doi:10.1090/S0002-9947-1938-1501936-8
[3]	Nirenberg, L., On nonlinear elliptic partial differential equations and Hölder continuity.Comm. Pure Appl. Math., 6 (1953), 103–156. · Zbl 0050.09801 · doi:10.1002/cpa.3160060105
[4]	Osserman, R., Minimal varieties.Bull. Amer. Math. Soc., 75 (1969), 1092–1120. · Zbl 0188.53801 · doi:10.1090/S0002-9904-1969-12357-8
[5]	–, On the Gauss curvature of minimal surfaces.Trans. Amer. Math. Soc., 96 (1960), 115–128. · Zbl 0093.34303 · doi:10.1090/S0002-9947-1960-0121723-7
[6]	–, On Bers’ theorem on isolated singularities.Indiana Univ. Math. J., 23 (1973), 337–342. · Zbl 0293.53003 · doi:10.1512/iumj.1973.23.23027
[7]	Simon, L., Equations of mean curvature type in 2 independent variables.Pacific J. Math. (1977).
[8]	–, Global Hölder estimates for a class of divergent–form elliptic equation.Arch. Rat. Mech. Anal., 56 (1974), 253–272. · Zbl 0295.35027 · doi:10.1007/BF00280971
[9]	Spanier, E. Algebraic Topology. McGraw-Hill.
[10]	Spruck, J., Gauss curvature estimates for surfaces of constant mean curvature.Comm. Pure Appl. Math., 27 (1974), 547–557. · Zbl 0287.53004 · doi:10.1002/cpa.3160270405
[11]	Trudinger, N., A sharp inequality for subharmonic functions on two dimensional manifolds. · Zbl 0268.31003

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.