From Gårding's cones to \(p\)-convex hypersurfaces

DOI10.1007/S10958-014-2016-7zbMath1318.15019OpenAlexW2461082092MaRDI QIDQ2259057

Nina M. Ivochkina

Publication date: 27 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-2016-7

zbMATH Keywords

convex hypersurfacehyperbolic polynomialcurvature matrixspace of symmetric matricesGårding cone

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30) Monge-Ampère equations (35J96)

Related Items (6)

On the 100th anniversary of the birth of Aleksei Vasil’evich Pogorelov ⋮ On two symmetries in the theory of \(m\)-Hessian operators ⋮ On new structures in the theory of fully nonlinear equations ⋮ Integral inequalities in the theory of Hessian operators ⋮ Inclusion relations of Gårding's cones and \(k\)-convex cones ⋮ On algebraic and geometric conditions in the theory of Hessian equations

Cites Work

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• On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• An expansion of convex hypersurfaces
• Contraction of convex hypersurfaces in Euclidean space
• On the classical solvability of the Dirichlet problem for nondegenerate \(m\)-Hessian equations
• The Dirichlet problem for the prescribed curvature equations
• On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains
• The Dirichlet Problem for Degenerate Hessian Equations
• A DESCRIPTION OF THE STABILITY CONES GENERATED BY DIFFERENTIAL OPERATORS OF MONGE-AMPÈRE TYPE
• SOLUTION OF THE DIRICHLET PROBLEM FOR CURVATURE EQUATIONS OF ORDER $ m$
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN
• SOLUTION OF THE DIRICHLET PROBLEM FOR SOME EQUATIONS OF MONGE-AMPÈRE TYPE
• Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
• THE INTEGRAL METHOD OF BARRIER FUNCTIONS AND THE DIRICHLET PROBLEM FOR EQUATIONS WITH OPERATORS OF MONGE-AMPÈRE TYPE
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• On some inequalities for elementary symmetric functions

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