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A-调和方程障碍问题解的局部正则性 被引量:1

Local Regularity Result for Solutions of Obstacle Problems of A-Harmonic Equation
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摘要 给出拟线性散度型椭圆方程divA(x,u(x))=0的Kψ,θ-障碍问题解的局部正则性结果,其中A(x,ξ)满足强制性与控制增长条件,自然指数p∈(1,n),障碍函数ψ≥0. Local regularity result for solutions of Kψ,θ——obstacle problems of quasilinear elliptic equations div A(x,u(x))=0 of divergence type is given,where A(x,ξ) satisfies the coercivity and controllable growth conditions,with the natural exponent p∈(1,n) and the obstacle function ψ≥0.
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2007年第5期453-455,463,共4页 Journal of Hebei University(Natural Science Edition)
基金 国家自然科学基金资助项目(10471149) 河北省教育厅博士基金资助项目(B2004103)
关键词 局部正则性 θ-障碍问题 A-调和方程 local regularity obstacle prolem A-harmonic equation
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  • 1Li Gongbao, Martio O. Local and global integrability of gradients in obstacle problems. Ann Acad Sci Fenn Ser A I Math, 1994, 19:25-34. 被引量:1
  • 2Giachetti D, Porzio M M. Local regularity results for minima of functionals of the calculus of variation.Nonlinear Analysis, T M A, 2000, 39:463-482. 被引量:1
  • 3Giaquinta M. Multiple integrals in the calculus of variations and nonlinear elliptic systems. Princeton,N J: Princeton University Press, 1983. 被引量:1
  • 4Gilbarg D, 2Yudinger N S. Eliptic partial differential equations of second order. Grundlehren der mathemaischen Wissenschaften 224. 2nd Edition. Springer-Verlag, 1983. 被引量:1
  • 5Meyers N G, Elcrat A. Some results on regularity for solutions of nonlinear elliptic sustems and quasiregular functions. Duke Math J, 1975, 42:121-136. 被引量:1
  • 6Li Gongbao, Martio O. Stability in obstacle problems. Math Scand, 1994, 75:87-100. 被引量:1

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  • 1IWANIEC T, MARTIN G. Geometric function theory and nonlinear analysis[M]. Oxford: Clarendon Press, 2001. 被引量:1
  • 2IWANICE T. P-harmonic tensors and quasiregular mappings[J]. Ann of Math, 1992,136:586--624. 被引量:1
  • 3IWANIEC T, MARTIN G. Quasiregular mappings in even dimensions[J]. Aeta Math, 1993,170:29-- 81. 被引量:1
  • 4高红亚,张昱.A-调和张量的双权积分不等式[J].河北大学学报(自然科学版),2008,28(2):124-126. 被引量:4

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