期刊文献+

Hessian方程黏性解的正则性

Regularity of viscosity solutions to Hessian equations
原文传递
导出
摘要 利用逼近理论及强极值原理给出了Hessian方程黏性解的C1,1正则性。 The C1,1 regularity of viscosity solutions to Hessian equations is obtained by the approximation and the strong maximum principle.
作者 代丽美
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2010年第9期62-64,共3页 Journal of Shandong University(Natural Science)
基金 潍坊学院博士科研基金资助项目(2008BS04)
关键词 Hessian方程 黏性解 正则性 Hessian equation viscosity solution regularity
  • 相关文献

参考文献9

  • 1CHENG S, YAU S. On the regularity of the Monge-Ampere equation det( 2 u/Oxlxj ) = F(x, u) [ J ]. Comm Pure Appl Math, 1977, 30(1) :41-68.
  • 2CAFFARELLI J L. Interior W^2.p estimates for solutions of the Monge-Ampere equation[J]. Ann of Math, 1990, 2(131) :135-150.
  • 3CABRE X, CAFFARELLI L, LUIS A. Regularity for viscosity solutions of fully nonlinear equations F(D^2u) =0 [J]. Topol Methods Nonlinear Anal, 1995, 6( 1 ) :31-48.
  • 4TRUDINGER N, WANG X. Hessian measures Ⅱ[J]. Ann of Math, 1999, 150(2) :579-604.
  • 5URBAS J. On the existence of nonclassical solutions for two class of fully nonlinear elliptic equations[ J]. Indiana University Mathematics Journal, 1990, 39 ( 2 ) : 355 -382.
  • 6CAFFARELLI L, NIRENBERG L, SPRUCK J. The Dirichlet problem for nonlinear second-order elliptic equations Ⅲ:functions of the eigcnvalues of the Hessian[ J]. Acta Math, 1985, 155 (3-4) :261-301.
  • 7CHOU K, WANG X. A variational theory of the Hessian equation[J]. Comm Pure Appl Math, 2001, 54(9) :1029-1064.
  • 8TRUDINGER N. Weak solutions of Hessian equations[ J]. Comm Partial Differential Equations, 1997, 22(7-8) :1251-1261.
  • 9BARDI M, DA L. On the strong maximum principle for fully nonlinear degenerate elliptic equations (English summary) [ J]. Arch Math (Basel), 1999, 73(4) :276-285.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部