Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems
We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then investigate the local and global higher integrabilit...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/921952 |
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| _version_ | 1832551396636884992 |
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| author | Zhenhua Hu Shuqing Zhou |
| author_facet | Zhenhua Hu Shuqing Zhou |
| author_sort | Zhenhua Hu |
| collection | DOAJ |
| description | We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then investigate the local and global higher integrability of weak solutions to the double obstacle systems, and finally generalize the results of the double obstacle problems to the double obstacle systems. |
| format | Article |
| id | doaj-art-6a4412cc0ad74555ad6cd4048d5d6dd6 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6a4412cc0ad74555ad6cd4048d5d6dd62025-02-03T06:01:29ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/921952921952Higher Integrability of Weak Solutions to a Class of Double Obstacle SystemsZhenhua Hu0Shuqing Zhou1College of Mathematics and Computer Science, Hunan City University, Yiyang, Hunan 413000, ChinaCollege of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), Hunan Normal University, Changsha, Hunan 410081, ChinaWe first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then investigate the local and global higher integrability of weak solutions to the double obstacle systems, and finally generalize the results of the double obstacle problems to the double obstacle systems.http://dx.doi.org/10.1155/2013/921952 |
| spellingShingle | Zhenhua Hu Shuqing Zhou Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems Journal of Mathematics |
| title | Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems |
| title_full | Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems |
| title_fullStr | Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems |
| title_full_unstemmed | Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems |
| title_short | Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems |
| title_sort | higher integrability of weak solutions to a class of double obstacle systems |
| url | http://dx.doi.org/10.1155/2013/921952 |
| work_keys_str_mv | AT zhenhuahu higherintegrabilityofweaksolutionstoaclassofdoubleobstaclesystems AT shuqingzhou higherintegrabilityofweaksolutionstoaclassofdoubleobstaclesystems |