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

1985/01/01 by L. Caffarelli, Luis Caffarelli, L. Nirenberg +3 · 888 citations
Mathematics · #Applied mathematics #Boundary value problem #Differential equation #Dirichlet distribution #Dirichlet eigenvalue #Dirichlet's principle #Eigenvalues and eigenvectors #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Hessian equation #Hessian matrix #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Nonlinear system #Order (exchange)

paper · pdf · doi:10.1007/bf02392544

published in Acta Mathematica 155(0), 261-301 (Mittag-Leffler Institute)

openalex publication_date 1985/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

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

Citations

• Calibrated geometries

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