A Dirichlet's principle for the \(k\)-Hessian

DOI10.1016/J.JFA.2018.08.024zbMath1405.35054OpenAlexW2890919253MaRDI QIDQ1788783

Yi Wang, Jeffrey S. Case

Publication date: 8 October 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2018.08.024

zbMATH Keywords

trace inequalityHessian equationfully nonlinear PDEDirichlet principle

Mathematics Subject Classification ID

Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (1)

Boundary operators associated to the \(\sigma_{k}\)-curvature

Cites Work

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• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• \(C^{1,1}\) solution of the Dirichlet problem for degenerate \(k\)-Hessian equations
• Conformal deformation on manifolds with boundary
• The Dirichlet Problem for Degenerate Hessian Equations
• The k-Hessian Equation
• An Extension Problem Related to the Fractional Laplacian

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