CORDES NONLINEAR OPERATORS IN CARNOT GROUPS

被引：0
作者：
Di Fazio, Giuseppe [1 ]
Fanciullo, Maria Stella [1 ]
机构：
[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年
关键词：
Cordes condition; Carnot groups; nonlinear equations; ELLIPTIC-EQUATIONS; DIVERGENCE FORM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim is to obtain LP estimates for the second-order horizontal derivatives of the solutions for a nondivergence form nonlinear equation in Carnot groups.
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页数：7
相关论文
共 19 条
  • [1] [Anonymous], ST PETERSBURG MATH J
  • [2] [Anonymous], REND MAT APPL
  • [3] [Anonymous], ARCH INEQUAL APPL
  • [4] Lp estimates for nonvariational hypoelliptic operators with VMO coefficients
    Bramanti, M
    Brandolini, L
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (02) : 781 - 822
  • [5] Bramanti M, 2013, ADV DIFFERENTIAL EQU, V18, P955
  • [6] Campanato S., 1980, SISTEMI ELLITTICIIN
  • [7] Chiarenza F., 1991, Ric. Mat., V40, P149
  • [8] Cordes H. O., 1961, P S PURE MATH
  • [9] Subelliptic Cordes estimates in the Grusin plane
    Di Fazio, G.
    Domokos, A.
    Fanciullo, M. S.
    Manfredi, J. J.
    [J]. MANUSCRIPTA MATHEMATICA, 2006, 120 (04) : 419 - 433
  • [10] Wloc2,p estimates for Cordes nonlinear operators in the Heisenberg group
    Di Fazio, G.
    Fanciullo, M. S.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 411 (02) : 947 - 952
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