Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents
In this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by p·-fractional Laplace with variable exponents were studied. By using variational method, the authors obtain the existence and uniqueness results.
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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/10.1155/2021/6686213 |
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| _version_ | 1841524547749150720 |
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| author | Yating Guo Guoju Ye |
| author_facet | Yating Guo Guoju Ye |
| author_sort | Yating Guo |
| collection | DOAJ |
| description | In this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by p·-fractional Laplace with variable exponents were studied. By using variational method, the authors obtain the existence and uniqueness results. |
| format | Article |
| id | doaj-art-696c66c6c5fd4b2a973d594d5aaf9abc |
| 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-696c66c6c5fd4b2a973d594d5aaf9abc2025-02-03T05:52:57ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66862136686213Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable ExponentsYating Guo0Guoju Ye1College of Science, Hohai University, Nanjing 210098, ChinaCollege of Science, Hohai University, Nanjing 210098, ChinaIn this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by p·-fractional Laplace with variable exponents were studied. By using variational method, the authors obtain the existence and uniqueness results.http://dx.doi.org/10.1155/2021/6686213 |
| spellingShingle | Yating Guo Guoju Ye Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents Journal of Function Spaces |
| title | Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents |
| title_full | Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents |
| title_fullStr | Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents |
| title_full_unstemmed | Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents |
| title_short | Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents |
| title_sort | existence and uniqueness of weak solutions to variable order fractional laplacian equations with variable exponents |
| url | http://dx.doi.org/10.1155/2021/6686213 |
| work_keys_str_mv | AT yatingguo existenceanduniquenessofweaksolutionstovariableorderfractionallaplacianequationswithvariableexponents AT guojuye existenceanduniquenessofweaksolutionstovariableorderfractionallaplacianequationswithvariableexponents |