Wolff potential estimates and Wiener criterion for nonlocal equations with Orlicz growth

[2312.16411] Wolff potential estimates and Wiener criterion for nonlocal equations with Orlicz growth Skip to main content Search Submit Donate Log in Mathematics > Analysis of PDEs arXiv:2312.16411 (math) [Submitted on 27 Dec 2023 ( v1 ), last revised 14 Sep 2024 (this version, v2)] Title: Wolff potential estimates and Wiener criterion for nonlocal equations with Orlicz growth Authors: Minhyun Kim , Ki-Ahm Lee , Se-Chan Lee View PDF HTML (experimental) Abstract: We prove the Wolff potential estimates for nonlocal equations with Orlicz growth. As an application, we obtain the Wiener criterion in this framework, which provides a necessary and sufficient condition for boundary points to be regular. Our approach relies on the fine analysis of superharmonic functions in view of nonlocal nonlinear potential theory. Comments: The title has been changed. Some more details have been added. 39 pages Subjects: Analysis of PDEs (math.AP) MSC classes: 31C45, 31B25, 31B15, 35R11 Cite as: arXiv:2312.16411 [math.AP] (or arXiv:2312.16411v2 [math.AP] for this version) https://doi.org/10.48550/arXiv.2312.16411 Focus to learn more arXiv-issued DOI via DataCite Journal reference: J. Funct. Anal. 288 (2025), no. 1, Paper No. 110690, 51 pp Related DOI : https://doi.org/10.1016/j.jfa.2024.110690 Focus to learn more DOI(s) linking to related resources Submission history From: Minhyun Kim [ view email ] [v1] Wed, 27 Dec 2023 04:54:10 UTC (31 KB) [v2] Sat, 14 Sep 2024 04:20:58 UTC (31 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: math.AP < prev | next > new | recent | 2023-12 Change to browse by: math References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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