Regularity results for p-Laplacians in pre-fractal domains
We study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal Koch Islands.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-06-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2017-0248 |
| _version_ | 1818738492526559232 |
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| author | Capitanelli Raffaela Fragapane Salvatore Vivaldi Maria Agostina |
| author_facet | Capitanelli Raffaela Fragapane Salvatore Vivaldi Maria Agostina |
| author_sort | Capitanelli Raffaela |
| collection | DOAJ |
| description | We study obstacle problems involving p-Laplace-type operators in non-convex polygons.
We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal Koch Islands. |
| first_indexed | 2024-12-18T01:09:48Z |
| format | Article |
| id | doaj.art-fddaa5514f414dad80f8a4f636e3dd3b |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-18T01:09:48Z |
| publishDate | 2018-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-fddaa5514f414dad80f8a4f636e3dd3b2022-12-21T21:26:09ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2018-06-01811043105610.1515/anona-2017-0248anona-2017-0248Regularity results for p-Laplacians in pre-fractal domainsCapitanelli Raffaela0Fragapane Salvatore1Vivaldi Maria Agostina2Dipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza” Università di Roma, Via A. Scarpa 16, 00161Roma, ItalyDipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza” Università di Roma, Via A. Scarpa 16, 00161Roma, ItalyDipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza” Università di Roma, Via A. Scarpa 16, 00161Roma, ItalyWe study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal Koch Islands.https://doi.org/10.1515/anona-2017-0248degenerate elliptic equationssmoothness and regularity of solutionsfemfractals35j70 35b65 65n30 28a80 |
| spellingShingle | Capitanelli Raffaela Fragapane Salvatore Vivaldi Maria Agostina Regularity results for p-Laplacians in pre-fractal domains Advances in Nonlinear Analysis degenerate elliptic equations smoothness and regularity of solutions fem fractals 35j70 35b65 65n30 28a80 |
| title | Regularity results for p-Laplacians in pre-fractal domains |
| title_full | Regularity results for p-Laplacians in pre-fractal domains |
| title_fullStr | Regularity results for p-Laplacians in pre-fractal domains |
| title_full_unstemmed | Regularity results for p-Laplacians in pre-fractal domains |
| title_short | Regularity results for p-Laplacians in pre-fractal domains |
| title_sort | regularity results for p laplacians in pre fractal domains |
| topic | degenerate elliptic equations smoothness and regularity of solutions fem fractals 35j70 35b65 65n30 28a80 |
| url | https://doi.org/10.1515/anona-2017-0248 |
| work_keys_str_mv | AT capitanelliraffaela regularityresultsforplaplaciansinprefractaldomains AT fragapanesalvatore regularityresultsforplaplaciansinprefractaldomains AT vivaldimariaagostina regularityresultsforplaplaciansinprefractaldomains |