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G-调和函数增长性及其在二相自由边界问题上的应用

Growth estimate for G-harmonic functions and its application in two-phase free boundary problems
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摘要 研究了G-调和函数的增长性,给出其在二相空腔与射流问题上关于极小化子增长性的应用. Growth estimate of weak solutions was established for G-harmonic functions and one of its applications in the growth rate of minimizers was given for the flow problems of two-phase jets and cavities.
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第4期561-563,共3页 Journal of Lanzhou University(Natural Sciences)
基金 中央高校基本科研业务费专项资金项目(2682014CX002EM)
关键词 G-调和函数 增长性 自由边界问题 G-harmonic function growth estimate free boundary problem
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参考文献5

  • 1BRAGA J E M,MOREIRA D R.Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative pha.
  • 2ZHENG Jun,ZHANG Zhi-hua,ZHAO Pei-hao.A minimum problem with two-phase free boundary in Orlicz spaces[J].Monatshefte fiir Mathematik,2013,172(3/4):441-475.
  • 3刘佳音,郑军,赵培浩.关于二相障碍问题几点注记[J].兰州大学学报(自然科学版),2013,49(3):409-415. 被引量:1
  • 4TAN Zhong,FANG Fei.Orlicz-Sobolev versus H(o)lder local minimizer and multiplicity results for quasilinear elliptic equations[J].Journal of Mathematical Analysis and Appl.
  • 5KARAKHANYAN A L,SHAHGHOLIAN H.Analysis of a free boundary at contact points with Lipschitz data[EB/OL].2012-4-22[2013-9-23].http://arxiv.org /abs/1205.5052.

二级参考文献11

  • 1LEE K, SHAHGHOLIAN H. Hausdorff measure and stability for the p-obstacle problem(2 < p < 00 )[J]. Journal of Differential Equations, 2003, 195(1): 14-24.
  • 2KARP L, KILPELAINEN T, PETROSVAN A, et al. On the porosity of free boundaries in degenerate varia?tional inequalities[J]. Journal of Differential Equa?tions, 2000, 164(1): 110-117.
  • 3EDQUIST A, LINDGREN E. A two-phase obstacle problem for the p-Laplacian[J]. Calculus of Varia?tions, 2009, 35(6): 421-433.
  • 4CAFFARELLI L A, JERISON D, KENIG C E. Some new monotonicity theorems with applications to free boundary problems(J]. Annals of Mathematics, 2002, 155(2): 369-404.
  • 5GILBARG D, TRUDINGER N S. Elliptic partial differential equations of second order[Mj. Berlin: Springer-Verlag, 2001: 288-289.
  • 6ADAMS R, FOURNIER J F. Sobolev spaces[M]. Oxford: Academic Press, 2003: 281-282.
  • 7MARTINEZ A, WOLANSKI N. A minimum problem with free boundary in Orlicz spaces[J]. Advances in Mathematics, 2008, 218(6): 1914-1971.
  • 8CHALLAL S, LVAGHFOURI A, RODRIGUES J F. On the A-obstacle problem and the Hausdorff measure of its free boundary[J]. Annalidi di Matematica, 2012, 191(1): 113-165.
  • 9BrezisH.泛函分析--理论和应用.北京:清华大学出版社,2009:64-65.
  • 10CHALLAL S, LVAHFOURI A. Second order regularity for the a-laplace operator(J]. Mediterranean Journal of Mathematics, 2010, 7(3): 283-296.

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