Generalised solutions of Hessian equations

DOI10.1017/S0004972700031257zbMath0895.35033MaRDI QIDQ4380520

Paolo Salani, Andrea Colesanti

Publication date: 17 March 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Monge-Ampère equationsemiconvex weak solutions

Mathematics Subject Classification ID

Related Items (13)

Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measures ⋮ Generalized solutions of curvature equations ⋮ THE DISTRIBUTIONAL -HESSIAN IN FRACTIONAL SOBOLEV SPACES ⋮ A note on closed convex hypersurfaces with singularities ⋮ Isolated singularities for some types of curvature equations. ⋮ Hessian valuations ⋮ Bernstein type theorem for the generalized parabolic 2-Hessian equation under weaker conditions ⋮ Existence of viscosity solutions for Hessian equations in exterior domains ⋮ A Bernstein type theorem for parabolic \(k\)-Hessian equations ⋮ Second order boundary estimate of boundary blowup solutions to \(k\)-Hessian equation ⋮ Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation ⋮ Entire Solutions to Generalized Parabolic k-Hessian Equations ⋮ Singular sets for curvature equation of order \(k\)

Cites Work

• Unnamed Item
• Tubular neighborhoods in Euclidean spaces
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Sets with positive reach
• On the Dirichlet problem for Hessian equations
• Regularity of generalized solutions of Monge-Ampère equations
• Curvature Measures

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