Local solvability of the \(k\)-Hessian equations

DOI10.1007/s11425-016-5135-4zbMath1353.35162arXiv1412.3291OpenAlexW1818885313MaRDI QIDQ341349

Mohammad Hasan, M. Dambrine

Publication date: 16 November 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3291

zbMATH Keywords

implicit function theorem\(k\)-Hessian equationslocal solutionuniform ellipticity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (4)

The existence and multiplicity of \(k\)-convex solutions for a coupled \(k\)-Hessian system ⋮ Boundary regularity for \(k\)-Hessian equations ⋮ Existence and convexity of local solutions to degenerate Hessian equations ⋮ A singular Monge-Ampère equation on unbounded domains

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