Integrability for Solutions of Anisotropic Obstacle Problems
This paper deals with anisotropic obstacle problem for the 𝒜-harmonic equation ∑i=1nDi(ai(x,Du(x)))=0. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutions u have higher integrability as well.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/549285 |
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| _version_ | 1849692652606324736 |
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| author | Hongya Gao Yanjie Zhang Shuangli Li |
| author_facet | Hongya Gao Yanjie Zhang Shuangli Li |
| author_sort | Hongya Gao |
| collection | DOAJ |
| description | This paper deals with anisotropic obstacle problem for the 𝒜-harmonic equation ∑i=1nDi(ai(x,Du(x)))=0. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutions u have higher integrability as well. |
| format | Article |
| id | doaj-art-ea11307e87ea4f57be22e5fd2442ce4c |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ea11307e87ea4f57be22e5fd2442ce4c2025-08-20T03:20:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/549285549285Integrability for Solutions of Anisotropic Obstacle ProblemsHongya Gao0Yanjie Zhang1Shuangli Li2College of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaThis paper deals with anisotropic obstacle problem for the 𝒜-harmonic equation ∑i=1nDi(ai(x,Du(x)))=0. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutions u have higher integrability as well.http://dx.doi.org/10.1155/2012/549285 |
| spellingShingle | Hongya Gao Yanjie Zhang Shuangli Li Integrability for Solutions of Anisotropic Obstacle Problems International Journal of Mathematics and Mathematical Sciences |
| title | Integrability for Solutions of Anisotropic Obstacle Problems |
| title_full | Integrability for Solutions of Anisotropic Obstacle Problems |
| title_fullStr | Integrability for Solutions of Anisotropic Obstacle Problems |
| title_full_unstemmed | Integrability for Solutions of Anisotropic Obstacle Problems |
| title_short | Integrability for Solutions of Anisotropic Obstacle Problems |
| title_sort | integrability for solutions of anisotropic obstacle problems |
| url | http://dx.doi.org/10.1155/2012/549285 |
| work_keys_str_mv | AT hongyagao integrabilityforsolutionsofanisotropicobstacleproblems AT yanjiezhang integrabilityforsolutionsofanisotropicobstacleproblems AT shuanglili integrabilityforsolutionsofanisotropicobstacleproblems |