An Alexsandrov type theorem for k-convex functions

DOI10.1017/S0004972700038260zbMath1082.26010MaRDI QIDQ4678000

Nirmalendu Chaudhuri, Neil S. Trudinger

Publication date: 23 May 2005

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

zbMATH Keywords

generalized convexityAlexandrov theoremtwice differentiability

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Operations with distributions and generalized functions (46F10) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (2)

Unnamed Item ⋮ On the Aleksandrov-Bakel'man-Pucci estimate for some elliptic and parabolic nonlinear operators

Cites Work

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• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Hessian measures. III
• Hessian measures. II
• Weakly Differentiable Functions
• Weak solutions of hessian equations
• On the weak continuity of elliptic operators and applications to potential theory
• The affine Plateau problem

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