Journal of Hebei University(Natural Science Edition) >

2010 , Vol. 30 >Issue 4: 348 - 352

DOI: https://doi.org/10.3969/j.issn.1000-1565.2010.04.003

Some Properties of Very Weak Solutions to Nonhomogeneous Obstacle Problems

  • GAO Lin-qing ,
  • SHI Ming-yu
Expand

Online published: 2010-07-25

Fold

Cite this article

GAO Lin-qing , SHI Ming-yu . Some Properties of Very Weak Solutions to Nonhomogeneous Obstacle Problems[J]. Journal of Hebei University(Natural Science Edition), 2010 , 30(4) : 348 -352 . DOI: 10.3969/j.issn.1000-1565.2010.04.003

References

[1] 高红亚, 王岷, 赵洪亮. A-调和方程障碍问题的很弱解 [J]. 数学研究与评论 2004.doi:10.3770/j.issn.2095-2651.2004.01.022
[2] HEINONEN J, KILPELAINEN T, MARTIO O. Nonliear potential theory of degenerate eliptic equations [M]. Oxford:clarendon Press 1993.
[3] LI Gongbao, MARTIO O. Local and global integrability of gradients in bostacle problems [J]. Annales Academiae Scientiarum Fennicae Series AI Mathematica 1994, 19.
[4] LI Gongbao, MARTIO O. Stability and higher integrability of dervatives of solutions in double obstacle problems [J]. Journal of Mathematical Analysis and Applications 2002, 272.
[5] GIAQUINTA M. Multiple intergrals in th calculus of variations and nonlinear eliptic systems [M]. Princeton, New Jersey:Princeton University Press 1993.
[6] LEWIS J L. Uniformly fatsets [J]. Transactions of the American Mathematical Society 1988, 308(01).
[7] MEYERS N, ELCRAT G. Some results on regularity for solutions if nonlinear eliptic systems and quasiregular functions [J]. Duke Mathematical Journal 1975, 42(01).
Options
Outlines

/

〈 〉