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Volumn 5, Issue 3, 2003, Pages 435-448

Hadamard and Liouville type results for fully nonlinear partial differential inequalities

Author keywords

Liouville property; Second order fully nonlinear operators; Viscosity solutions

Indexed keywords


EID: 0042413695     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199703001014     Document Type: Article
Times cited : (33)

References (15)
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    • Bardi, M.1    Da Lio, F.2
  • 2
    • 33747078140 scopus 로고    scopus 로고
    • Liouville theorems for elliptic inequalities and applications
    • I. Birindelli and E. Mitidieri, Liouville theorems for elliptic inequalities and applications, Proc. Royal Soc. Edinburgh 128A (1998), 1217-1247.
    • (1998) Proc. Royal Soc. Edinburgh , vol.128 A , pp. 1217-1247
    • Birindelli, I.1    Mitidieri, E.2
  • 3
    • 84881031051 scopus 로고
    • American Mathematical Society Colloquium Publications AMS, Providence, RI
    • L. A. Caffarelli and X. Cabré, Fully Nonlinear Elliptic Equations, American Mathematical Society Colloquium Publications 43 AMS, Providence, RI, 1995.
    • (1995) Fully Nonlinear Elliptic Equations , vol.43
    • Caffarelli, L.A.1    Cabré, X.2
  • 4
    • 0042099361 scopus 로고    scopus 로고
    • Teoremi di liouville e stime a priori per equazioni ellittiche semilineari
    • I. Capuzzo Dolcetta, Teoremi di Liouville e stime a priori per equazioni ellittiche semilineari, Rend. Sem. Mat. Fis. Milano 68 (1998), 1-18.
    • (1998) Rend. Sem. Mat. Fis. Milano , vol.68 , pp. 1-18
    • Capuzzo Dolcetta, I.1
  • 6
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • M. G. Crandall, H. Ishii and P. L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. 27 (1992), 1-67.
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 9
    • 84939873114 scopus 로고
    • A priori bounds for positive solutions of nonlinear elliptic equations
    • B. Gidas and J. Spruck, A priori bounds for positive solutions of nonlinear elliptic equations, Comm. Partial Differential Equations 8 (1981), 883-901.
    • (1981) Comm. Partial Differential Equations , vol.8 , pp. 883-901
    • Gidas, B.1    Spruck, J.2
  • 10
    • 84980182383 scopus 로고
    • Global and local behavior of positive solutions of nonlinear elliptic equations
    • B. Gidas and J. Spruck, Global and local behavior of positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math. 35 (1981), 525-598.
    • (1981) Comm. Pure Appl. Math. , vol.35 , pp. 525-598
    • Gidas, B.1    Spruck, J.2
  • 11
    • 0002824461 scopus 로고
    • Viscosity solutions of fully nonlinear second order elliptic partial differential equations
    • H. Ishii and P. L. Lions, Viscosity solutions of fully nonlinear second order elliptic partial differential equations, J. Differential Equations 83 (1990), 26-78.
    • (1990) J. Differential Equations , vol.83 , pp. 26-78
    • Ishii, H.1    Lions, P.L.2
  • 12
    • 0010882259 scopus 로고    scopus 로고
    • Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms
    • L. Moschini, S. I. Pohozaev and A. Tesei, Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms, J. Funct. Anal. 177 (2000), 365-382.
    • (2000) J. Funct. Anal. , vol.177 , pp. 365-382
    • Moschini, L.1    Pohozaev, S.I.2    Tesei, A.3
  • 13
    • 0000531454 scopus 로고
    • Operatori ellittici estremanti
    • C. Pucci, Operatori Ellittici Estremanti, Ann. Mat. Pura Appl. 72 (1966), 141-170.
    • (1966) Ann. Mat. Pura Appl. , vol.72 , pp. 141-170
    • Pucci, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.