Existence of solutions with asymptotic behavior of exterior problems of Hessian equations

DOI10.1090/S0002-9939-2011-10833-5zbMath1219.35118MaRDI QIDQ3020372

Limei Dai

Publication date: 4 August 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorviscosity solutionsHessian equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Monge-Ampère equations (35J96)

Related Items

Necessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations ⋮ On the exterior Dirichlet problem for Hessian equations ⋮ The Solutions with Prescribed Asymptotic Behavior for the Exterior Dirichlet Problem of Hessian Equations

Cites Work

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• Some multi-valued solutions to Monge-Ampère equations
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• On the Dirichlet problem for Hessian equations
• Hessian measures. II
• The dirichlet problem for a class of fully nonlinear elliptic equations
• Weak solutions of hessian equations
• An extension to a theorem of Jörgens, Calabi, and Pogorelov
• Hessian equations in non-smooth domains
• A variational theory of the Hessian equation

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