Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/111608
Title: | Sharp regularity for singular obstacle problems | Authors: | Araújo, Damião J. Teymurazyan, Rafayel Voskanyan, Vardan |
Issue Date: | 2022 | Publisher: | Springer Nature | Serial title, monograph or event: | Mathematische Annalen | Volume: | 387 | Issue: | 3-4 | Abstract: | We obtain sharp local C1,α regularity of solutions for singular obstacle problems, Euler-Lagrange equation of which is given by Δpu=γ(u-φ)γ-1in{u>φ},for 0 < γ< 1 and p≥ 2. At the free boundary ∂{ u> φ} , we prove optimal C1,τ regularity of solutions, with τ given explicitly in terms of p, γ and smoothness of φ, which is new even in the linear setting. | URI: | https://hdl.handle.net/10316/111608 | ISSN: | 0025-5831 1432-1807 |
DOI: | 10.1007/s00208-022-02496-4 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
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Sharp-regularity-for-singular-obstacle-problemsMathematische-Annalen.pdf | 512.66 kB | Adobe PDF | View/Open |
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