Analysis of the behavior of a weak solution to \(m\)-Hessian equations near the boundary of a domain

DOI10.1007/S10958-010-9871-7zbMath1304.35221OpenAlexW2077677228MaRDI QIDQ467542

Nadezhda V. Filimonenkova

Publication date: 3 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-010-9871-7

zbMATH Keywords

Dirichlet problemfully nonlinear equationMorrey type space

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30)

Related Items (1)

On the classical solvability of the Dirichlet problem for nondegenerate \(m\)-Hessian equations

Cites Work

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• Lemma about increase of approximate solutions to the Dirichlet problem for \(m\)-Hessian equations
• Estimate of the Hölder constant for solutions to \(m\)-Hessian equations
• Phragmén-Lindelöf type theorem for \(m\)-Hessian equations
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Weak solutions of hessian equations

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