Concepedia

SOLUTION OF THE DIRICHLET PROBLEM FOR CURVATURE EQUATIONS OF ORDER $ m$

N. M. Ivochkina

Mathematics of the USSR-Sbornik · 1990 · 72 citations · 9 references

DOI

Concepts

Abstract

Solvability conditions for curvature equations of order which are sufficient, and almost necessary, are obtained, and theorems concerning the existence of solutions in , , , are proved. The first-order curvature equation coincides with the curvature equation of order , and the curvature equation of order with the Monge-Ampere equation.Bibliography: 18 titles.

References

9

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Luis Caffarelli, Louis Nirenberg, Joel Spruck · Acta Mathematica · 1985 · 883 citations · Full text

, , +14

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Classical solutions of fully nonlinear, convex, second‐order elliptic equations

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James Serrin · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1969 · 455 citations

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An Inequality for Hyperbolic Polynomials

Lars Gårding · Indiana University Mathematics Journal · 1959 · 454 citations

, , +2