Pacific Journal of Mathematics

Equations of mean curvature type in $2$ independent variables.

Leon Simon

Article information

Source
Pacific J. Math., Volume 69, Number 1 (1977), 245-268.

Dates
First available in Project Euclid: 8 December 2004

https://projecteuclid.org/euclid.pjm/1102817107

Mathematical Reviews number (MathSciNet)
MR0454854

Zentralblatt MATH identifier
0354.35040

Subjects
Primary: 49F10
Secondary: 35J20: Variational methods for second-order elliptic equations

Citation

Simon, Leon. Equations of mean curvature type in $2$ independent variables. Pacific J. Math. 69 (1977), no. 1, 245--268. https://projecteuclid.org/euclid.pjm/1102817107

References

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• [4] E. Heinz, Tiber die L'sungender Minimal dchengeleichung,Nachr. Akad. Wiss. Gttingen Math. Phy. Kl, II (1952), 51-56.
• [5] H. Jenkins, On 2-dimensional variational problems in parametric form, Arch.Rat. Mech. Anal., 8 (1961), 181-206.
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• [7] C. B. Morrey, Multiple integrals in the calculus of variations, Springer-Verlag.
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• [9] L. Simon, Isolated singularitiesof graphs with quasiconformal Gauss map.Inpre- paration.
• [10] L. Simon, Global estimates of Holder continuityfor a class ofdivergence-form elliptic equations, Arch. Rat. Mech. Anal., 56 (1974), 253-272.
• [11] J. Spruck, Gauss curvature estimates forsurfaces of constant meancurvature, Comm. Pure Appl. Math., 27 (1974).