Optimal partial regularity for quasilinear elliptic systems with VMO coefficients based on A-harmonic approximations
In this article, we consider quasi-linear elliptic systems in divergence form with discontinuous coefficients under controllable growth. We establish an optimal partial regularity of the weak solutions by a modification of A-harmonic approximation argument introduced by Duzaar and Grotowski.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/16/abstr.html |
| _version_ | 1818250774970368000 |
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| author | Haiyan Yu Shenzhou Zheng |
| author_facet | Haiyan Yu Shenzhou Zheng |
| author_sort | Haiyan Yu |
| collection | DOAJ |
| description | In this article, we consider quasi-linear elliptic systems in
divergence form with discontinuous coefficients under controllable growth.
We establish an optimal partial regularity of the weak solutions by a
modification of A-harmonic approximation argument introduced by Duzaar
and Grotowski. |
| first_indexed | 2024-12-12T15:57:44Z |
| format | Article |
| id | doaj.art-fde02d6f619447ff80640d662e2e66df |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T15:57:44Z |
| publishDate | 2015-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-fde02d6f619447ff80640d662e2e66df2022-12-22T00:19:28ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-01-01201516,112Optimal partial regularity for quasilinear elliptic systems with VMO coefficients based on A-harmonic approximationsHaiyan Yu0Shenzhou Zheng1 Beijing Jiaotong Univ., Beijing, China Beijing Jiaotong Univ., Beijing, China In this article, we consider quasi-linear elliptic systems in divergence form with discontinuous coefficients under controllable growth. We establish an optimal partial regularity of the weak solutions by a modification of A-harmonic approximation argument introduced by Duzaar and Grotowski.http://ejde.math.txstate.edu/Volumes/2015/16/abstr.htmlVMO coefficientscontrollable growthA-harmonic approximation |
| spellingShingle | Haiyan Yu Shenzhou Zheng Optimal partial regularity for quasilinear elliptic systems with VMO coefficients based on A-harmonic approximations Electronic Journal of Differential Equations VMO coefficients controllable growth A-harmonic approximation |
| title | Optimal partial regularity for quasilinear elliptic systems with VMO coefficients based on A-harmonic approximations |
| title_full | Optimal partial regularity for quasilinear elliptic systems with VMO coefficients based on A-harmonic approximations |
| title_fullStr | Optimal partial regularity for quasilinear elliptic systems with VMO coefficients based on A-harmonic approximations |
| title_full_unstemmed | Optimal partial regularity for quasilinear elliptic systems with VMO coefficients based on A-harmonic approximations |
| title_short | Optimal partial regularity for quasilinear elliptic systems with VMO coefficients based on A-harmonic approximations |
| title_sort | optimal partial regularity for quasilinear elliptic systems with vmo coefficients based on a harmonic approximations |
| topic | VMO coefficients controllable growth A-harmonic approximation |
| url | http://ejde.math.txstate.edu/Volumes/2015/16/abstr.html |
| work_keys_str_mv | AT haiyanyu optimalpartialregularityforquasilinearellipticsystemswithvmocoefficientsbasedonaharmonicapproximations AT shenzhouzheng optimalpartialregularityforquasilinearellipticsystemswithvmocoefficientsbasedonaharmonicapproximations |