Nonlinear elliptic equations and the complex hessian

DOI10.1080/03605308808820584zbMath0698.35061OpenAlexW2025221723MaRDI QIDQ3475674

Alvaro Vinacua

Publication date: 1988

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308808820584

zbMATH Keywords

Dirichlet problemexistencefully nonlinearcomplex Hessianconcaveunique smooth solutionnecessary and sufficient

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Plurisubharmonic functions and generalizations (32U05)

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Cites Work

• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations