On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent
Based on truncation technique and priori estimates, we prove the existence and uniqueness of weak solution for a class of anisotropic nonlinear elliptic equations with variable exponent p(x)→ growth. Furthermore, we also obtain that the weak solution is locally bounded and regular; that is, the weak...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/247628 |
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| _version_ | 1832561854064361472 |
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| author | Guoqing Zhang Hongtao Zhang |
| author_facet | Guoqing Zhang Hongtao Zhang |
| author_sort | Guoqing Zhang |
| collection | DOAJ |
| description | Based on truncation technique and priori estimates, we prove the existence and uniqueness of weak solution for a class of anisotropic nonlinear elliptic equations with variable exponent p(x)→ growth. Furthermore, we also obtain that the weak solution is locally bounded and regular; that is, the weak solution is Lloc∞(Ω) and C1,α(Ω). |
| format | Article |
| id | doaj-art-7bcfc1d56e8d41e0874160ca59375e6c |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-7bcfc1d56e8d41e0874160ca59375e6c2025-02-03T01:23:59ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/247628247628On a Class of Anisotropic Nonlinear Elliptic Equations with Variable ExponentGuoqing Zhang0Hongtao Zhang1College of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, ChinaCollege of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, ChinaBased on truncation technique and priori estimates, we prove the existence and uniqueness of weak solution for a class of anisotropic nonlinear elliptic equations with variable exponent p(x)→ growth. Furthermore, we also obtain that the weak solution is locally bounded and regular; that is, the weak solution is Lloc∞(Ω) and C1,α(Ω).http://dx.doi.org/10.1155/2013/247628 |
| spellingShingle | Guoqing Zhang Hongtao Zhang On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent Journal of Function Spaces and Applications |
| title | On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent |
| title_full | On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent |
| title_fullStr | On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent |
| title_full_unstemmed | On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent |
| title_short | On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent |
| title_sort | on a class of anisotropic nonlinear elliptic equations with variable exponent |
| url | http://dx.doi.org/10.1155/2013/247628 |
| work_keys_str_mv | AT guoqingzhang onaclassofanisotropicnonlinearellipticequationswithvariableexponent AT hongtaozhang onaclassofanisotropicnonlinearellipticequationswithvariableexponent |