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Volumn 34, Issue 7, 2009, Pages 765-784

Rigidity results for some boundary quasilinear phase transitions

Author keywords

Allen Cahn phase transitions; Boundary reactions; Minimal surface operator; p Laplacian; Poincar type inequality; Quasilinear equations

Indexed keywords


EID: 70449581236     PISSN: 03605302     EISSN: 15324133     Source Type: Journal    
DOI: 10.1080/03605300902892402     Document Type: Article
Times cited : (23)

References (16)
  • 1
    • 0034957494 scopus 로고    scopus 로고
    • On a long-standing conjecture of E. De Giorgi: Symmetry in 3D for general nonlinearities and a local minimality property
    • Alberti, G., Ambrosio, L., Cabré, X. (2001). On a long-standing conjecture of E. De Giorgi: Symmetry in 3D for general nonlinearities and a local minimality property. Acta Appl. Math. 65:9-33.
    • (2001) Acta Appl. Math. , vol.65 , pp. 9-33
    • Alberti, G.1    Ambrosio, L.2    Cabré, X.3
  • 2
    • 30544441113 scopus 로고    scopus 로고
    • Layer solutions in a half-space for boundary reactions
    • Cabré, X., Solà-Morales, J. (2005). Layer solutions in a half-space for boundary reactions. Comm. Pure Appl. Math. 58:1678-1732.
    • (2005) Comm. Pure Appl. Math. , vol.58 , pp. 1678-1732
    • Cabré, X.1    Solà-Morales, J.2
  • 3
    • 34548348805 scopus 로고    scopus 로고
    • An extension problem related to the fractional Laplacian
    • Caffarelli, L., Silvestre, L. (2007). An extension problem related to the fractional Laplacian. Commun. in PDE 32:1245-1260.
    • (2007) Commun. in PDE , vol.32 , pp. 1245-1260
    • Caffarelli, L.1    Silvestre, L.2
  • 4
    • 70449564282 scopus 로고    scopus 로고
    • Fibered nonlinearities for p (x) -Laplace equations
    • Chermisi, M., Valdinoci, E. (2009). Fibered nonlinearities for p (x) -Laplace equations. Adv. Calc. Var. 2:185-205.
    • (2009) Adv. Calc. Var. , vol.2 , pp. 185-205
    • Chermisi, M.1    Valdinoci, E.2
  • 5
    • 0000257373 scopus 로고
    • Relaxation of degenerate variational integrals
    • ChiadòPiat, V., Serra Cassano, F. (1994). Relaxation of degenerate variational integrals. Nonlinear Anal. 22:409-424.
    • (1994) Nonlinear Anal. , vol.22 , pp. 409-424
    • ChiadòPiat, V.1    Serra Cassano, F.2
  • 7
    • 57049086933 scopus 로고    scopus 로고
    • Propriétés qualitatives de solutions d'équations et systèmes d'équations nonlinéaires
    • Paris VI
    • Farina, A. (2002). Propriétés qualitatives de solutions d'équations et systèmes d'équations nonlinéaires [Qualitative properties of equation solutions and nonlinear equation systems]. Habilitation à diriger des recherches, Paris VI.
    • (2002) Habilitation à diriger des recherches
    • Farina, A.1
  • 8
    • 57049094392 scopus 로고    scopus 로고
    • Bernstein and De Giorgi type problems: New results via a geometric approach
    • Farina, A., Sciunzi, B., Valdinoci, E. (2008). Bernstein and De Giorgi type problems: New results via a geometric approach. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 7:741-791.
    • (2008) Ann. Sc. Norm. Super. Pisa Cl. Sci. , vol.7 , Issue.5 , pp. 741-791
    • Farina, A.1    Sciunzi, B.2    Valdinoci, E.3
  • 10
    • 84980187204 scopus 로고
    • The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature
    • Fischer-Colbrie, D., Schoen, R. (1980). The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature. Comm. Pure Appl. Math. 33:199-211.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 199-211
    • Fischer-Colbrie, D.1    Schoen, R.2
  • 13
    • 84972514202 scopus 로고
    • Positive solutions of elliptic equations. Pacific
    • Moss, W. F., Piepenbrink, J. (1978). Positive solutions of elliptic equations. Pacific J. Math. 75:219-226.
    • (1978) J. Math. , vol.75 , pp. 219-226
    • Moss, W.F.1    Piepenbrink, J.2
  • 14
    • 59849109073 scopus 로고    scopus 로고
    • Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result
    • Sire, Y., Valdinoci, E. (2009). Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result. J. Funct. Anal. 256:1842-1864.
    • (2009) J. Funct. Anal. , vol.256 , pp. 1842-1864
    • Sire, Y.1    Valdinoci, E.2
  • 15
    • 0032370858 scopus 로고    scopus 로고
    • Connectivity of phase boundaries in strictly convex domains
    • Sternberg, P., Zumbrun, K. (1998). Connectivity of phase boundaries in strictly convex domains. Arch. Rational Mech. Anal. 141:375-400.
    • (1998) Arch. Rational Mech. Anal. , vol.141 , pp. 375-400
    • Sternberg, P.1    Zumbrun, K.2
  • 16
    • 0032221205 scopus 로고    scopus 로고
    • A Poincaré inequality with applications to volume constrained area-minimizing surfaces
    • Sternberg, P., Zumbrun, K. (1998). A Poincaré inequality with applications to volume constrained area-minimizing surfaces. J. Reine Angew. Math. 503:63-85.
    • (1998) J. Reine Angew. Math. , vol.503 , pp. 63-85
    • Sternberg, P.1    Zumbrun, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.