Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator
The aim of this paper is to establish the existence and multiplicity of solutions for a class of nonlocal problem involving the p(x)-biharmonic operator. Our technical approach is based on direct variational method and the theory of variable exponent Sobolev spaces.
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2019-04-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/32100 |
| _version_ | 1828293556711718912 |
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| author | Omar Darhouche |
| author_facet | Omar Darhouche |
| author_sort | Omar Darhouche |
| collection | DOAJ |
| description | The aim of this paper is to establish the existence and multiplicity of solutions for a class of nonlocal problem involving the p(x)-biharmonic operator. Our technical approach is based on direct variational method and the theory of variable exponent Sobolev spaces. |
| first_indexed | 2024-04-13T11:24:27Z |
| format | Article |
| id | doaj.art-76774a902f6149229e8f344806940613 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-04-13T11:24:27Z |
| publishDate | 2019-04-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-76774a902f6149229e8f3448069406132022-12-22T02:48:44ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882019-04-01372233310.5269/bspm.v37i2.3210015898Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operatorOmar Darhouche0University Mohamed I Department of MathematicsThe aim of this paper is to establish the existence and multiplicity of solutions for a class of nonlocal problem involving the p(x)-biharmonic operator. Our technical approach is based on direct variational method and the theory of variable exponent Sobolev spaces.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/32100Variational methodMountain pass theoremp(x)-Biharmonic OperatorKirchho type equationNonlocal problemNavier boundary conditionsgeneralized Lebesgue-Sobolev spaces |
| spellingShingle | Omar Darhouche Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator Boletim da Sociedade Paranaense de Matemática Variational method Mountain pass theorem p(x)-Biharmonic Operator Kirchho type equation Nonlocal problem Navier boundary conditions generalized Lebesgue-Sobolev spaces |
| title | Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator |
| title_full | Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator |
| title_fullStr | Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator |
| title_full_unstemmed | Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator |
| title_short | Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator |
| title_sort | existence and multiplicity results for a class of kirchho type problems involving the p x biharmonic operator |
| topic | Variational method Mountain pass theorem p(x)-Biharmonic Operator Kirchho type equation Nonlocal problem Navier boundary conditions generalized Lebesgue-Sobolev spaces |
| url | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/32100 |
| work_keys_str_mv | AT omardarhouche existenceandmultiplicityresultsforaclassofkirchhotypeproblemsinvolvingthepxbiharmonicoperator |