دورية أكاديمية
On a Bernoulli-type overdetermined free boundary problem
| العنوان: | On a Bernoulli-type overdetermined free boundary problem |
|---|---|
| المؤلفون: | Akman, Murat, Banerjee, Agnid, Smit Vega Garcia, Mariana |
| بيانات النشر: | Finnish Mathematical Society |
| سنة النشر: | 2021 |
| المجموعة: | University of Essex Research Repository |
| الوصف: | In this article we study a Bernoulli-type free boundary problem and generalize a work of Henrot and Shahgholian in [25] to A-harmonic PDEs. These are quasi-linear elliptic PDEs whose structure is modelled on the p-Laplace equation for a fixed 1 < p < ∞. In particular, we show that if K is a bounded convex set satisfying the interior ball condition and c > 0 is a given constant, then there exists a unique convex domain Ω with K ⊂ Ω and a function u which is A-harmonic in Ω\K, has continuous boundary values 1 on ∂K and 0 on ∂Ω, such that |∇u| = c on ∂Ω. Moreover, ∂Ω is C1,γ for some γ > 0, and it is smooth provided A is smooth in Rn \ {0}. We also show that the super level sets {u > t} are convex for t ∈ (0,1) |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| العلاقة: | http://repository.essex.ac.uk/34387/1/110563-Article%20Text-203219-1-10-20210802.pdfTest; Akman, Murat and Banerjee, Agnid and Smit Vega Garcia, Mariana (2021) 'On a Bernoulli-type overdetermined free boundary problem.' Annales Fennici Mathematici, 46 (2). pp. 601-618. ISSN 2737-0690 |
| الإتاحة: | http://repository.essex.ac.uk/34387Test/ https://afm.journal.fi/article/view/110563Test http://repository.essex.ac.uk/34387/1/110563-Article%20Text-203219-1-10-20210802.pdfTest |
| حقوق: | cc_by_nc |
| رقم الانضمام: | edsbas.76FA1096 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |