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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 · 7 references

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Abstract

On etudie le probleme de Dirichlet dans un domaine borne Ω de R n a frontiere lisse ∂Ω:F(D 2 u)=ψ dans Ω, u=φ sur ∂Ω

References

7

Calibrated geometries

Reese Harvey, H. Blaine Lawson · Acta Mathematica · 1982 · 1.7K citations · Full text

The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation

Luis Caffarelli, Louis Nirenberg, Joel Spruck · Communications on Pure and Applied Mathematics · 1984 · 797 citations

, , +9

An Inequality for Hyperbolic Polynomials

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

, , +2

BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN

Mathematics of the USSR-Izvestiya · 1984 · 378 citations

, , +14

The dirichlet problem for nonlinear second‐order elliptic equations. II. Complex monge‐ampère, and uniformaly elliptic, equations

Luis Caffarelli, J. J. Kohn, Louis Nirenberg et al. · Communications on Pure and Applied Mathematics · 1985 · 325 citations

, , +11