New Trends in Free Boundary Problems
We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on global quantities) or a “nonlinear” flavor (namel...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-05-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2017-0002 |
| _version_ | 1817997629962846208 |
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| author | Dipierro Serena Karakhanyan Aram Valdinoci Enrico |
| author_facet | Dipierro Serena Karakhanyan Aram Valdinoci Enrico |
| author_sort | Dipierro Serena |
| collection | DOAJ |
| description | We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on global quantities) or a “nonlinear” flavor (namely, the total energy is the nonlinear superposition of energy components, thus losing the standard additivity and scale invariances of the problem). |
| first_indexed | 2024-04-14T02:39:57Z |
| format | Article |
| id | doaj.art-54edefc7bc6d438c8eb4e362a4e3720b |
| institution | Directory Open Access Journal |
| issn | 1536-1365 2169-0375 |
| language | English |
| last_indexed | 2024-04-14T02:39:57Z |
| publishDate | 2017-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-54edefc7bc6d438c8eb4e362a4e3720b2022-12-22T02:17:09ZengDe GruyterAdvanced Nonlinear Studies1536-13652169-03752017-05-0117231933210.1515/ans-2017-0002New Trends in Free Boundary ProblemsDipierro Serena0Karakhanyan Aram1Valdinoci Enrico2School of Mathematics and Statistics, University of Melbourne, 813 Swanston Street, Parkville VIC 3010, Australia Maxwell Institute for Mathematical Sciences and School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, Peter Guthrie Tait Road, Edinburgh EH9 3FD, United Kingdom School of Mathematics and Statistics, University of Melbourne, 813 Swanston Street, Parkville VIC 3010, Australia; and Istituto di Matematica Applicata e Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, Via Ferrata 1, 27100 Pavia, Italy; and Weierstraß Institut für angewandte Analysis und Stochastik, Mohrenstr. 39, 10117 Berlin, Germany; and Dipartimento di Matematica, Università degli studi di Milano, Via Saldini 50, 20133 Milan, Italy We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on global quantities) or a “nonlinear” flavor (namely, the total energy is the nonlinear superposition of energy components, thus losing the standard additivity and scale invariances of the problem).https://doi.org/10.1515/ans-2017-0002free boundary problemsnonlocal equationsregularity theoryfree boundary conditionsscaling propertiesinstability35r35 35r11 |
| spellingShingle | Dipierro Serena Karakhanyan Aram Valdinoci Enrico New Trends in Free Boundary Problems Advanced Nonlinear Studies free boundary problems nonlocal equations regularity theory free boundary conditions scaling properties instability 35r35 35r11 |
| title | New Trends in Free Boundary Problems |
| title_full | New Trends in Free Boundary Problems |
| title_fullStr | New Trends in Free Boundary Problems |
| title_full_unstemmed | New Trends in Free Boundary Problems |
| title_short | New Trends in Free Boundary Problems |
| title_sort | new trends in free boundary problems |
| topic | free boundary problems nonlocal equations regularity theory free boundary conditions scaling properties instability 35r35 35r11 |
| url | https://doi.org/10.1515/ans-2017-0002 |
| work_keys_str_mv | AT dipierroserena newtrendsinfreeboundaryproblems AT karakhanyanaram newtrendsinfreeboundaryproblems AT valdinocienrico newtrendsinfreeboundaryproblems |