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A-调和方程障碍问题的很弱解 被引量:12

Very Weak Solutions for Obstacle Problems of A -Harmonic Equation
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摘要 本文给出A-调和方程障碍问题很弱解的定义.使用Hodge分解等工具,得到其局部与整体高阶可积性. This paper gives the definition of very weak solutions for obstacle problems of A-harmonic equation. The local and global higher integrability results are obtained by using the technique of Hodge decomposition. These extend the results of
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2004年第1期159-167,共9页 数学研究与评论(英文版)
关键词 A-调和方程 障碍问题 很弱解 HODGE分解 逆Hoe1der不等式 高阶可积性 A-harmonic equation obstacle probleml very weak solution Hodge decomposition reverse Holder inequality.
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  • 1[1]LI Gong-bao, MARTIO O. Local and global integrability of gradients in obstacle problems [J]. Ann.Acad. Sci. Fenn. Ser. A. I. Math., 1994, 19: 25-34.
  • 2[2]HEINONEN J, KILPELAINEN T, MARTIO O. Nonlinear Potential Theory of Second Order Degenerate Elliptic Partial Differential Equations [M]. Oxford University Press, 1993.
  • 3[3]IWANIEC T, SBORDONE C. Weak minima of variational integrals [J]. J. Reine. Angew. Math. ,1994, 454: 143-161.
  • 4[4]MEYERS N, ELCRAT G. Some results on regularity for solutions of nonlinear elliptic systems and quasi-regular functions [J]. Duke Math. J. , 1975, 42: 121-136.
  • 5[5]GIAQUINTA M. Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems [M].Ann. Math. Stud. , 105, Princeton Univ. Press, 1983.
  • 6[6]IWANIEC T, MIGLIACCIO L, NANIA L. et al. Integrability and removability results for quasiregular mappings in high dimensons [J]. Math. Scand, 1994, 75: 263-279.
  • 7[7]LI Gong-bao, MARTIO O. Stability in obstacle problems [J]. Math. Scand, 1994, 75: 87-100.
  • 8[8]LI Gong-bao, MARTIO O. Stability of solutions of varying degenerate elliptic equations [J]. Indiana Univ. Math. J. , 1998, 47: 873-891.

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