Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation
This paper considers the existence of solutions for two boundary value problems for fractional -Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer's fixed point theorem. As an application, an example to ill...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/432509 |
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| _version_ | 1832556616772222976 |
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| author | Taiyong Chen Wenbin Liu |
| author_facet | Taiyong Chen Wenbin Liu |
| author_sort | Taiyong Chen |
| collection | DOAJ |
| description | This paper considers the existence of solutions for two boundary value problems for fractional -Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer's fixed point theorem. As an application, an example to illustrate our results is given. |
| format | Article |
| id | doaj-art-7b9521bbfd4b4ee49aa9413fa753e9e1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7b9521bbfd4b4ee49aa9413fa753e9e12025-02-03T05:44:54ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/432509432509Solvability of Some Boundary Value Problems for Fractional -Laplacian EquationTaiyong Chen0Wenbin Liu1Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaDepartment of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaThis paper considers the existence of solutions for two boundary value problems for fractional -Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer's fixed point theorem. As an application, an example to illustrate our results is given.http://dx.doi.org/10.1155/2013/432509 |
| spellingShingle | Taiyong Chen Wenbin Liu Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation Abstract and Applied Analysis |
| title | Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation |
| title_full | Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation |
| title_fullStr | Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation |
| title_full_unstemmed | Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation |
| title_short | Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation |
| title_sort | solvability of some boundary value problems for fractional laplacian equation |
| url | http://dx.doi.org/10.1155/2013/432509 |
| work_keys_str_mv | AT taiyongchen solvabilityofsomeboundaryvalueproblemsforfractionallaplacianequation AT wenbinliu solvabilityofsomeboundaryvalueproblemsforfractionallaplacianequation |