THE WIENER CRITERION FOR FULLY NONLINEAR ELLIPTIC EQUATIONS

We study the boundary continuity of solutions to fully nonlinear elliptic equations. We first define a capacity for operators in non-divergence form and derive several capacitary estimates. Secondly, we formulate the Wiener criterion, which characterizes a regular boundary point via potential theory...

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Detalles Bibliográficos
Autores principales: LEE, KI-AHM, LEE, SE-CHAN
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Cornell University 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9900964/
https://www.ncbi.nlm.nih.gov/pubmed/36748002
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author LEE, KI-AHM
LEE, SE-CHAN
author_facet LEE, KI-AHM
LEE, SE-CHAN
author_sort LEE, KI-AHM
collection PubMed
description We study the boundary continuity of solutions to fully nonlinear elliptic equations. We first define a capacity for operators in non-divergence form and derive several capacitary estimates. Secondly, we formulate the Wiener criterion, which characterizes a regular boundary point via potential theory. Our approach utilizes the asymptotic behavior of homogeneous solutions, together with Harnack inequality and the comparison principle.
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spelling pubmed-99009642023-02-07 THE WIENER CRITERION FOR FULLY NONLINEAR ELLIPTIC EQUATIONS LEE, KI-AHM LEE, SE-CHAN ArXiv Article We study the boundary continuity of solutions to fully nonlinear elliptic equations. We first define a capacity for operators in non-divergence form and derive several capacitary estimates. Secondly, we formulate the Wiener criterion, which characterizes a regular boundary point via potential theory. Our approach utilizes the asymptotic behavior of homogeneous solutions, together with Harnack inequality and the comparison principle. Cornell University 2023-01-03 /pmc/articles/PMC9900964/ /pubmed/36748002 Text en https://creativecommons.org/licenses/by/4.0/This work is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/) , which allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use.
spellingShingle Article
LEE, KI-AHM
LEE, SE-CHAN
THE WIENER CRITERION FOR FULLY NONLINEAR ELLIPTIC EQUATIONS
title THE WIENER CRITERION FOR FULLY NONLINEAR ELLIPTIC EQUATIONS
title_full THE WIENER CRITERION FOR FULLY NONLINEAR ELLIPTIC EQUATIONS
title_fullStr THE WIENER CRITERION FOR FULLY NONLINEAR ELLIPTIC EQUATIONS
title_full_unstemmed THE WIENER CRITERION FOR FULLY NONLINEAR ELLIPTIC EQUATIONS
title_short THE WIENER CRITERION FOR FULLY NONLINEAR ELLIPTIC EQUATIONS
title_sort wiener criterion for fully nonlinear elliptic equations
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9900964/
https://www.ncbi.nlm.nih.gov/pubmed/36748002
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