Almost minimizers for a sublinear system with free boundary
| Autor: | Daniela De Silva, Seongmin Jeon, Henrik Shahgholian |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
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| Popis: | We study vector-valued almost minimizers of the energy functional $$\int_D\left(|\nabla\mathbf{u}|^2+\frac2{1+q}\left(\lambda_+(x)|\mathbf{u}^+|^{q+1}+\lambda_-(x)|\mathbf{u}^-|^{q+1}\right)\right)dx,\quad00$, we take the epiperimetric inequality approach and prove the regularity for both almost minimizers and the set of "regular" free boundary points. Comment: 39 pages. arXiv admin note: text overlap with arXiv:2112.00676 |
| Databáze: | OpenAIRE |
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