Concepedia

Entire solutions of first-order nonlinear partial differential equations

Jill E. Hemmati

Proceedings of the American Mathematical Society · 1997 · 26 citations · 9 references

DOIFull text

Open access

Concepts

Abstract

We show that any entire solution of an essentially nonlinear first-order partial differential equation in two variables must be linear.

References

9

Lectures on Minimal Surfaces.

Robert Osserman, Johannes C. C. Nitsche · American Mathematical Monthly · 1991 · 422 citations

, , +11

FUNCTION THEORY OF SEVERAL COMPLEX VARIABLES

John Wermer · Bulletin of the London Mathematical Society · 1982 · 342 citations

, , +2

Isolated Singularities of Minimal Surfaces

Lipman Bers · Annals of Mathematics · 1951 · 134 citations

, , +6

A Note on Entire Solutions of the Eiconal Equation

Dmitry Khavinson · American Mathematical Monthly · 1995 · 73 citations

, , +6

Elementary Proof of Bernstein's Theorem on Minimal Surfaces

Johannes C. C. Nitsche · Annals of Mathematics · 1957 · 66 citations

, , +6