Lpand Hölder estimates for a class fo degenerate elliptic boundary value problems Application to the Monge–Amp ére equation

DOI10.1080/03605309108820787zbMath0742.35009OpenAlexW2084855665MaRDI QIDQ3978008

Jia-Xing Hong, Claude Zuily

Publication date: 25 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820787

zbMATH Keywords

Tricomi equation\(L^ p\) estimatespropagation of smoothnessCalderón- Zygmund decompositionequations of Airy type

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Boundary value problems for PDEs with pseudodifferential operators (35S15) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

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Cites Work

• The Dirichlet problem for the equation of prescribed Gauss curvature
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I