메뉴 건너뛰기
Proceedings of the American Mathematical Society
Volumn 133, Issue 4, 2005, Pages 1247-1253
Viscosity convex functions on carnot groups
Author keywords

[No Author keywords available]
Indexed keywords

EID: 16244419798     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07836-0     Document Type: Article
Times cited : (35)
References (11)
  • 1
    • 0036381924 scopus 로고    scopus 로고
    • On ∞-harmonic functions on the Heisenberg group
    • [B] MR1900561 (2003g:35033)
    • [B] T. Bieske, On ∞-harmonic functions on the Heisenberg group. Comm. Partial Differential Equations 27 (2002), no. 3-4, 727-761. MR1900561 (2003g:35033)
    • (2002) Comm. Partial Differential Equations , vol.27 , Issue.3-4 , pp. 727-761
    • Bieske, T.1
  • 2
    • 10844276039 scopus 로고    scopus 로고
    • Regularity of convex functions on Heisenberg groups
    • [BR] MR2040646
    • [BR] Z. Balogh, M. Rickly, Regularity of convex functions on Heisenberg groups. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 2 (2003), no. 4, 847-868. MR2040646
    • (2003) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) , vol.2 , Issue.4 , pp. 847-868
    • Balogh, Z.1    Rickly, M.2
  • 3
    • 0002449458 scopus 로고
    • Fully nonlinear elliptic equations
    • [CC] AMS, Providence, RI, MR1351007 (96h:35046)
    • [CC] X. Cabré, L. Caffarelli, Fully nonlinear elliptic equations. AMS Colloquium Publications 43, AMS, Providence, RI, 1995. MR1351007 (96h:35046)
    • (1995) AMS Colloquium Publications , vol.43
    • Cabré, X.1    Caffarelli, L.2
  • 4
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • [CIL] MR1118699 (92j:35050)
    • [CIL] M. Crandall, H. Ishii, P. L. Lions, User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 1, 1-67. MR1118699 (92j:35050)
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.1    Ishii, H.2    Lions, P.L.3
  • 5
    • 0142194374 scopus 로고    scopus 로고
    • Notations of convexity in Carnot groups
    • [DGN] MR2014879 (2004m:22014)
    • [DGN] D. Danielli, N. Garofalo, D. Nhieu, Notations of convexity in Carnot groups. Comm. Anal. Geom. 11 (2003), no. 2, 263-341. MR2014879 (2004m:22014)
    • (2003) Comm. Anal. Geom. , vol.11 , Issue.2 , pp. 263-341
    • Danielli, D.1    Garofalo, N.2    Nhieu, D.3
  • 7
    • 0003233074 scopus 로고
    • Hardy spaces on homogeneous groups
    • [FS] Princeton University Press, Princeton, N.J., MR0657581 (84h:43027)
    • [FS] G. Folland, E. Stein, Hardy spaces on homogeneous groups. Mathematical Notes, 28. Princeton University Press, Princeton, N.J., 1982. MR0657581 (84h:43027)
    • (1982) Mathematical Notes , vol.28
    • Folland, G.1    Stein, E.2
  • 8
    • 84966259849 scopus 로고
    • A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations
    • [JLS] MR0934877 (89f:35027)
    • [JLS] R. Jensen, P. L. Lions, P. Souganidis, A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations. Proc. Amer. Math. Soc. 102 (1988), no. 4, 975-978. MR0934877 (89f:35027)
    • (1988) Proc. Amer. Math. Soc. , vol.102 , Issue.4 , pp. 975-978
    • Jensen, R.1    Lions, P.L.2    Souganidis, P.3
  • 9
    • 16244396070 scopus 로고    scopus 로고
    • [JLMS] P. Juutinen, G. Lu, J. Manfredi, B. Stroffolini. In preparation
    • [JLMS] P. Juutinen, G. Lu, J. Manfredi, B. Stroffolini. In preparation.
  • 10
    • 0942289728 scopus 로고    scopus 로고
    • Convex functions on the Heisenberg group
    • [LMS] MR2027845
    • [LMS] G. Lu, J. Manfredi, B. Stroffolini, Convex functions on the Heisenberg group. Calc. Var., 19 (2004), no. 1, 1-22. MR2027845
    • (2004) Calc. Var. , vol.19 , Issue.1 , pp. 1-22
    • Lu, G.1    Manfredi, J.2    Stroffolini, B.3
  • 11
    • 34547164806 scopus 로고    scopus 로고
    • The Aronsson equation for absolute minimizers of L∞-functionals associated with vector fields satisfying Hörmander's condition
    • [W] To appear
    • [W] C. Y. Wang, The Aronsson equation for absolute minimizers of L∞-functionals associated with vector fields satisfying Hörmander's condition. To appear in Trans. Amer. Math. Soc.
    • Trans. Amer. Math. Soc.
    • Wang, C.Y.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.