Journal of Hebei University(Natural Science Edition) >

2011 , Vol. 31 >Issue 5: 453 - 455

DOI: https://doi.org/10.3969/j.issn.1000-1565.2011.05.002

Local Regularity of Solutions to Obstacle Problems for Differential Forms

  • GAO Hong-ya ,
  • QIAO Jin-jing
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Online published: 2011-09-25

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GAO Hong-ya , QIAO Jin-jing . Local Regularity of Solutions to Obstacle Problems for Differential Forms[J]. Journal of Hebei University(Natural Science Edition), 2011 , 31(5) : 453 -455 . DOI: 10.3969/j.issn.1000-1565.2011.05.002

References

[1] GAO Hong-ya, WANG Yan-yan. Weak WT2-class of differential forms and weakly A-harmonic tensors [J]. 高校应用数学学报B辑 2010.doi:10.1007/s11766-010-2292-z
[2] Gao Hongya, Guo Jing, Zuo Yali, Chu Yuming. LOCAL REGULARITY RESULT IN OBSTACLE PROBLEMS [J]. 数学物理学报（英文版） 2010.
[3] Li GB., Martio O.. Stability and higher integrability of derivatives of solutions in double obstacle problems [J]. Journal of Mathematical Analysis and Applications 2002, 1(1).
[4] HEINONEN J, KILPEL(A)NEN T, MARTIO O. Nonlinear potential theory of degenerate elliptic equations [M]. Oxford:clarendon Press 1993.
[5] LI Gongbao, MARTIO O. Local and global integrability of gradients in obstacle problems [J]. Annales Academiae Scientiarum Fennicae Series AI Mathematica 1994, 19.
[6] GIAQUINTA M. Multiple intgerals in the caculus of variations and nonlinear elliptic systems [M]. Princeton, New Jersey:Princeton University Press 1983.
[7] GAO Hongya, QIAO Jinjing, CHU Yuming. Local regularity and local boundedness results for very weak solutions of obstacle problems [J]. Journal of Inequalities and Applications 2010.
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