Harnack inequality for the fractional nonlocal linearized Monge–Ampère equation

The fractional nonlocal linearized Monge–Ampère equation is introduced. A Harnack inequality for nonnegative solutions to the Poisson problem on Monge–Ampère sections is proved.

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2017-08, Vol.56 (4), p.1-45, Article 103
Main Authors: Maldonado, Diego, Stinga, Pablo Raúl
Format: Article
Language:English
Subjects:
Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Linearization
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Monge-Ampere equation
Systems Theory
Theoretical
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Description
Summary:The fractional nonlocal linearized Monge–Ampère equation is introduced. A Harnack inequality for nonnegative solutions to the Poisson problem on Monge–Ampère sections is proved.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-017-1205-x