On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure
This work is devoted to study the limit behavior of weak solutions of an elliptic problem with variable exponent, in a containing structure, of an oscillating nanolayer of thickness and periodicity parameter depending on ε. The generalized Sobolev space is constructed, and the epiconvergence method...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/7047113 |
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| _version_ | 1849405565043736576 |
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| author | Hicham Maadan Nour Eddine Askour Jamal Messaho |
| author_facet | Hicham Maadan Nour Eddine Askour Jamal Messaho |
| author_sort | Hicham Maadan |
| collection | DOAJ |
| description | This work is devoted to study the limit behavior of weak solutions of an elliptic problem with variable exponent, in a containing structure, of an oscillating nanolayer of thickness and periodicity parameter depending on ε. The generalized Sobolev space is constructed, and the epiconvergence method is considered to find the limit problem with interface conditions. |
| format | Article |
| id | doaj-art-51cd03b70aef487a99e5e2da765793a7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-51cd03b70aef487a99e5e2da765793a72025-08-20T03:36:38ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/70471137047113On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in NanostructureHicham Maadan0Nour Eddine Askour1Jamal Messaho2Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Sliman University, P.O. Box 523, Beni Mellal 23000, MoroccoLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Sliman University, P.O. Box 523, Beni Mellal 23000, MoroccoCRMEF of Beni Mellal-Khénifra, MoroccoThis work is devoted to study the limit behavior of weak solutions of an elliptic problem with variable exponent, in a containing structure, of an oscillating nanolayer of thickness and periodicity parameter depending on ε. The generalized Sobolev space is constructed, and the epiconvergence method is considered to find the limit problem with interface conditions.http://dx.doi.org/10.1155/2021/7047113 |
| spellingShingle | Hicham Maadan Nour Eddine Askour Jamal Messaho On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure Journal of Function Spaces |
| title | On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure |
| title_full | On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure |
| title_fullStr | On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure |
| title_full_unstemmed | On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure |
| title_short | On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure |
| title_sort | on weak solvability of boundary value problem with variable exponent arising in nanostructure |
| url | http://dx.doi.org/10.1155/2021/7047113 |
| work_keys_str_mv | AT hichammaadan onweaksolvabilityofboundaryvalueproblemwithvariableexponentarisinginnanostructure AT noureddineaskour onweaksolvabilityofboundaryvalueproblemwithvariableexponentarisinginnanostructure AT jamalmessaho onweaksolvabilityofboundaryvalueproblemwithvariableexponentarisinginnanostructure |