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A constant rank theorem for solutions of fully nonlinear elliptic equations

Luis Caffarelli, Pengfei Guan, Xi‐Nan Ma

Communications on Pure and Applied Mathematics · 2007 · 74 citations · 15 references

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References

15

The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian

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

, , +14

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

Lawrence C. Evans · Communications on Pure and Applied Mathematics · 1982 · 592 citations

, , +9

Interior a Priori Estimates for Solutions of Fully Non-Linear Equations

Luis Caffarelli · Annals of Mathematics · 1989 · 568 citations

, , +9

On Spherical Image Maps Whose Jacobians Do Not Change Sign

Philip Hartman, Louis Nirenberg · American Journal of Mathematics · 1959 · 269 citations

, , +6

An expansion of convex hypersurfaces

John Urbas · Journal of Differential Geometry · 1991 · 230 citations · Full text

, , +9