Bernstein-Jorgens Theorem for a Fourth Order Partial Dierential Equation

Bernstein-Jorgens Theorem for a Fourth Order Partial Dierential Equation

Year:    2002

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 78–88

Abstract

We introduce a metric, conformal to the affine metric, on a convex graph, and consider the Euler equation of the volume functional. We establish a priori estimates for solutions and prove a Bernstein-Jörgens type result in the two dimensional case.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JPDE-5442

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 78–88

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Bernstein theorem