메뉴 건너뛰기




Volumn 2009, Issue 22, 2009, Pages 4232-4270

Geometric pdes in the grushin plane: Weighted inequalities and flatness of level sets

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79954541273     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1093/imrn/rnp088     Document Type: Article
Times cited : (12)

References (27)
  • 5
    • 85015471238 scopus 로고    scopus 로고
    • Further qualitative properties for elliptic equations in unbounded domains
    • Classe di Scienze IV 1997
    • Berestycki H., Caffarelli L., Nirenberg L. Further qualitative properties for elliptic equations in unbounded domains. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze IV 1997;25(1/2):69-94.
    • Annali della Scuola Normale Superiore di Pisa , vol.25 , Issue.1-2 , pp. 69-94
    • Berestycki, H.1    Caffarelli, L.2    Nirenberg, L.3
  • 7
    • 0346991527 scopus 로고    scopus 로고
    • A negative answer to a one-dimensional symmetry problem in the Heisenberg group
    • DOI 10.1007/s00526-003-0194-0
    • Birindelli I., Lanconelli E. A negative answer to a one-dimensional symmetry problem in the Heisenberg group. Calculus of Variations and Partial Differential Equations 2003;18(4):357-72. (Pubitemid 37550874)
    • (2003) Calculus of Variations and Partial Differential Equations , vol.18 , Issue.4 , pp. 357-372
    • Birindelli, I.1    Lanconelli, E.2
  • 10
    • 33746335682 scopus 로고    scopus 로고
    • Regularity of radial minimizers and extremal solutions of semilinear elliptic equations
    • DOI 10.1016/j.jfa.2005.12.018, PII S0022123605004581
    • Cabré X., Capella A. Regularity of radial minimizers and extremal solutions of semilinear elliptic equations. Journal of Functional Analysis 2006;238(2):709-33. (Pubitemid 44109081)
    • (2006) Journal of Functional Analysis , vol.238 , Issue.2 , pp. 709-733
    • Cabre, X.1    Capella, A.2
  • 13
    • 57049086933 scopus 로고    scopus 로고
    • Propriétés qualitatives de solutions d'équations et systèmes d'équations non-linéaires
    • Paris
    • Farina A. 2002. Propriétés qualitatives de solutions d'équations et systèmes d'équations non-linéaires. Habilitation a diriger des recherches, Paris VI.
    • (2002) Habilitation A Diriger des Recherches , vol.6
    • Farina, A.1
  • 14
    • 3042613356 scopus 로고    scopus 로고
    • 2
    • Farina A. One-dimensional symmetry for solutions of quasilinear equations in . Unione Matematica Italiana. Bollettino B. Articoli di Ricerca Matematica 2003;6(3):685-92. (Pubitemid 38846381)
    • (2003) Bollettino della Unione Matematica Italiana B , vol.6 , Issue.3 , pp. 685-692
    • Farina, A.1
  • 17
    • 57049170765 scopus 로고    scopus 로고
    • A geometric inequality in the Heisenberg group and its applications to stable solutions of semilinear problems
    • Ferrari F., Valdinoci E. A geometric inequality in the Heisenberg group and its applications to stable solutions of semilinear problems. Mathematische Annalen 2009;343(2):351-70.
    • (2009) Mathematische Annalen , vol.343 , Issue.2 , pp. 351-370
    • Ferrari, F.1    Valdinoci, E.2
  • 18
    • 0000541936 scopus 로고
    • Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients
    • Franchi B., Lanconelli E. Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze IV 1983;10:523-41.
    • (1983) Annali della Scuola Normale Superiore di Pisa. Classe di Scienze , vol.4 , Issue.10 , pp. 523-541
    • Franchi, B.1    Lanconelli, E.2
  • 19
    • 0032373311 scopus 로고    scopus 로고
    • On a conjecture of De Giorgi and some related problems
    • Ghoussoub N., Gui C. On a conjecture of De Giorgi and some related problems. Mathematische Annalen 1998;311(3):481-91. (Pubitemid 128370722)
    • (1998) Mathematische Annalen , vol.311 , Issue.3 , pp. 481-491
    • Ghoussoub, N.1    Gui, C.2
  • 21
    • 0001214546 scopus 로고
    • The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. II
    • Jerison D. S. The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. II. Journal of Functional Analysis 1981;43(2):224-57.
    • (1981) Journal of Functional Analysis , vol.43 , Issue.2 , pp. 224-257
    • Jerison, D.S.1
  • 23
    • 84972558913 scopus 로고
    • Hypoellipticité analytique sur des groupes nilpotents de rang 2
    • Métivier G. Hypoellipticité analytique sur des groupes nilpotents de rang 2. Duke Mathematical Journal 1980;47(1):195-221
    • (1980) Duke Mathematical Journal , vol.47 , Issue.1 , pp. 195-221
    • Métivier, G.1
  • 24
    • 59849109073 scopus 로고    scopus 로고
    • Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result
    • Sire Y., Valdinoci E. Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result. Journal of Functional Analysis 2009;256(6):1842-64.
    • (2009) Journal of Functional Analysis , vol.256 , Issue.6 , pp. 1842-1864
    • Sire, Y.1    Valdinoci, E.2
  • 25
    • 0032221205 scopus 로고    scopus 로고
    • A Poincaré inequality with applications to volume-constrained area-minimizing surfaces
    • Sternberg P., Zumbrun K. A Poincaré inequality with applications to volume-constrained area-minimizing surfaces. Journal für die Reine und Angewandte Mathematik 1998;503:63-85.
    • (1998) Journal für Die Reine und Angewandte Mathematik , vol.503 , pp. 63-85
    • Sternberg, P.1    Zumbrun, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.