Rocky Mountain Journal of Mathematics

A Note on Aronsson's Equation

Daniel Drucker and Stephen A. Williams
Source: Rocky Mountain J. Math. Volume 39, Number 6 (2009), 1859-1867.
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Primary Subjects: 35K55
Secondary Subjects: 35A25
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1262271378
Digital Object Identifier: doi:10.1216/RMJ-2009-39-6-1859
Zentralblatt MATH identifier: 05652726
Mathematical Reviews number (MathSciNet): MR2575882

References

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--------, On the partial differential equation $u_x^2 u_xx + 2u_x u_y u_xy + u_y^2 u_yy = 0$, Ark. Mat. 7 (1968), 395-425.
G. Aronsson, On certain singular solutions of the partial differential equation $u_x^2 u_xx + 2 u_x u_y u_xy + u_y^2 u_yy = 0$, Manuscripta Math. 47 (1984), 133-151.
Mathematical Reviews (MathSciNet): MR744316
Zentralblatt MATH: 0551.35018
Digital Object Identifier: doi:10.1007/BF01174590
G. Aronsson, M.G. Crandall and P. Juutinen, A tour of the theory of absolutely minimizing functions, Bull. Amer. Math. Soc. %(N.S.) 41 (2004), 439-505 (electronic).
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D. Drucker and S.A. Williams, When does water find the shortest path downhill? The geometry of steepest descent curves, Amer. Math. Monthly 110 (2003), 869-885.
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Rocky Mountain Journal of Mathematics

Rocky Mountain Journal of Mathematics