On the twice differentiability of viscosity solutions of nonlinear elliptic equations

DOI10.1017/S0004972700003361zbMath0706.35031MaRDI QIDQ3487833

Neil S. Trudinger

Publication date: 1989

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

zbMATH Keywords

viscosity solutionsgrowth conditionfully nonlineartwice differentiability

Mathematics Subject Classification ID

Related Items (19)

A note on the density of the partial regularity result in the class of viscosity solutions ⋮ Second order rectifiability of varifolds of bounded mean curvature ⋮ The Dirichlet problem for the prescribed curvature equations ⋮ User’s guide to viscosity solutions of second order partial differential equations ⋮ Differentiability properties of solutions of nondegenerate Isaacs equations ⋮ Second order rectifiability of integral varifolds of locally bounded first variation ⋮ Differential tests for plurisubharmonic functions and Koch curves ⋮ Pointwise differentiability of higher order for sets ⋮ On the generalized Stepanov theorem ⋮ Unnamed Item ⋮ Decay estimates for the quadratic tilt-excess of integral varifolds ⋮ On the second order derivatives of solutions of a special Isaacs equation ⋮ Least supersolution approach to regularizing free boundary problems ⋮ Local singularities of plurisubharmonic functions ⋮ Spectral properties of nonassociative algebras and breaking regularity for nonlinear elliptic type PDEs ⋮ Pointwise properties of \(L^p\)-viscosity solutions of uniformly elliptic equations with quadratically growing gradient terms ⋮ Unnamed Item ⋮ The minmax principle and $W^{2,p}$ regularity for solutions of the simplest Isaacs equations ⋮ Normal bundle and Almgren’s geometric inequality for singular varieties of bounded mean curvature

Cites Work

• Unnamed Item
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
• Viscosity Solutions of Hamilton-Jacobi Equations
• Hölder gradient estimates for fully nonlinear elliptic equations
• A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations

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