Estimate of the Hölder constant for solutions to \(m\)-Hessian equations

DOI10.1007/S10958-009-9427-XzbMath1205.35092OpenAlexW1998079355MaRDI QIDQ613676

Nina M. Ivochkina, Nadezhda V. Filimonenkova

Publication date: 21 December 2010

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

Full work available at URL: https://doi.org/10.1007/s10958-009-9427-x

zbMATH Keywords

a priori estimateadmissible solution\(n\)-Hessian equationHölder constant

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (1)

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

Cites Work

• Lemma about increase of approximate solutions to the Dirichlet problem for \(m\)-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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