Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces
In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p(x)-Kirchhoff type with nonstandard growth condition.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/385048 |
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| _version_ | 1832568116728561664 |
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| author | Bilal Cekic Rabil A. Mashiyev |
| author_facet | Bilal Cekic Rabil A. Mashiyev |
| author_sort | Bilal Cekic |
| collection | DOAJ |
| description | In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p(x)-Kirchhoff type with nonstandard growth condition. |
| format | Article |
| id | doaj-art-f1437e24e9fa491d8c674c148eb6c8ab |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f1437e24e9fa491d8c674c148eb6c8ab2025-02-03T00:59:50ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/385048385048Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev SpacesBilal Cekic0Rabil A. Mashiyev1Department of Mathematics, Dicle University, 21280 Diyarbakir, TurkeyDepartment of Mathematics, Dicle University, 21280 Diyarbakir, TurkeyIn this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p(x)-Kirchhoff type with nonstandard growth condition.http://dx.doi.org/10.1155/2010/385048 |
| spellingShingle | Bilal Cekic Rabil A. Mashiyev Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces Abstract and Applied Analysis |
| title | Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces |
| title_full | Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces |
| title_fullStr | Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces |
| title_full_unstemmed | Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces |
| title_short | Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces |
| title_sort | nontrivial solution for a nonlocal elliptic transmission problem in variable exponent sobolev spaces |
| url | http://dx.doi.org/10.1155/2010/385048 |
| work_keys_str_mv | AT bilalcekic nontrivialsolutionforanonlocalelliptictransmissionprobleminvariableexponentsobolevspaces AT rabilamashiyev nontrivialsolutionforanonlocalelliptictransmissionprobleminvariableexponentsobolevspaces |