Reflection principle for classical solutions of the homogeneous real Monge–Ampère equation

DOI10.1080/23311835.2015.1024993zbMath1339.35149OpenAlexW1990985104MaRDI QIDQ2813477

Mika Koskenoja

Publication date: 24 June 2016

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2015.1024993

zbMATH Keywords

classical solutioncontinuationreflection principlehomogeneous equationreal Monge-Ampère equation

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Continuation and prolongation of solutions to PDEs (35B60) Parabolic Monge-Ampère equations (35K96) Strong solutions to PDEs (35D35) Classical solutions to PDEs (35A09)

Related Items (1)

Reflection principle for the complex Monge-Ampère equation and plurisubharmonic functions

Cites Work

• Correction to the paper The reflection principle for polyharmonic functions
• Variational problems and elliptic Monge-Ampère equations
• Reflection principle for quasiminimizers
• Reflection principles for harmonic and polyharmonic functions
• Sur les équations de Monge-Ampère. I
• Continuation of biharmonic functions by reflection
• The reflection principle for polyharmonic functions
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Reflection principle for solutions of elliptic partial differential equations and quasiregular mappings
• The Monge-Ampère equation
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