Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations

We give a generalization of a theorem of Bôcher for the Laplace equation to a class of conformally invariant fully nonlinear degenerate elliptic equations. We also prove a Harnack inequality for locally Lipschitz viscosity solutions and a classification of continuous radially symmetric viscosity sol...

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Main Authors: Nguyen, L, Li, Y
Format: Journal article
Language:English
Published: Wiley 2014
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author Nguyen, L
Li, Y
author_facet Nguyen, L
Li, Y
author_sort Nguyen, L
collection OXFORD
description We give a generalization of a theorem of Bôcher for the Laplace equation to a class of conformally invariant fully nonlinear degenerate elliptic equations. We also prove a Harnack inequality for locally Lipschitz viscosity solutions and a classification of continuous radially symmetric viscosity solutions.
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spelling oxford-uuid:70256ec8-631a-4930-ba5c-000393b515f32022-03-26T19:35:18ZHarnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic EquationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:70256ec8-631a-4930-ba5c-000393b515f3EnglishSymplectic Elements at OxfordWiley2014Nguyen, LLi, YWe give a generalization of a theorem of Bôcher for the Laplace equation to a class of conformally invariant fully nonlinear degenerate elliptic equations. We also prove a Harnack inequality for locally Lipschitz viscosity solutions and a classification of continuous radially symmetric viscosity solutions.
spellingShingle Nguyen, L
Li, Y
Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations
title Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations
title_full Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations
title_fullStr Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations
title_full_unstemmed Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations
title_short Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations
title_sort harnack inequalities and bocher type theorems for conformally invariant fully nonlinear degenerate elliptic equations
work_keys_str_mv AT nguyenl harnackinequalitiesandbochertypetheoremsforconformallyinvariantfullynonlineardegenerateellipticequations
AT liy harnackinequalitiesandbochertypetheoremsforconformallyinvariantfullynonlineardegenerateellipticequations