Academic Journal
A Hopf lemma for the regional fractional Laplacian
| العنوان: | A Hopf lemma for the regional fractional Laplacian |
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| المؤلفون: | Abatangelo N., Fall M. M., Temgoua R. Y. |
| المساهمون: | Abatangelo N., Fall M.M., Temgoua R.Y. |
| سنة النشر: | 2023 |
| المجموعة: | IRIS Università degli Studi di Bologna (CRIS - Current Research Information System) |
| مصطلحات موضوعية: | Regional fractional Laplacian, Hopf boundary lemma, Pointwise super-solution, Weak super-solution, Distributional super-solution |
| الوصف: | We provide a Hopf boundary lemma for the regional fractional Laplacian (-Delta)(Omega)(s), with Omega subset of R-N a bounded open set. More precisely, given u a pointwise or weak super-solution of the equation (-Delta)(Omega)(s)u = c(x)u in Omega, we show that the ratio u(x)/(dist(x, partial derivative Omega))(2s-1) is strictly positive as x approaches the boundary partial derivative Omega of Omega. We also prove a strong maximum principle for distributional super-solutions. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000813782500001; volume:202; issue:1; firstpage:95; lastpage:113; numberofpages:19; journal:ANNALI DI MATEMATICA PURA ED APPLICATA; https://hdl.handle.net/11585/899084; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85132177205; https://link.springer.com/article/10.1007/s10231-022-01234-6 |
| DOI: | 10.1007/s10231-022-01234-6 |
| الاتاحة: | https://hdl.handle.net/11585/899084 https://doi.org/10.1007/s10231-022-01234-6 https://link.springer.com/article/10.1007/s10231-022-01234-6 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.EEF84D2B |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s10231-022-01234-6 |
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