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Journal of Differential Equations
Volumn 249, Issue 4, 2010, Pages 931-964
Boundary blow-up solutions in the unit ball: Asymptotics, uniqueness and symmetry
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EID: 77952957661     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2010.02.023     Document Type: Article
Times cited : (26)
References (12)
  • 1
    • 69749089322 scopus 로고    scopus 로고
    • Asymptotic behavior of large solutions of elliptic equations
    • MR2215890 (2006j:35066)
    • Bandle Catherine Asymptotic behavior of large solutions of elliptic equations. An. Univ. Craiova Ser. Mat. Inform. 2005, 32:1-8. MR2215890 (2006j:35066).
    • (2005) An. Univ. Craiova Ser. Mat. Inform. , vol.32 , pp. 1-8
    • Bandle, C.1
  • 2
    • 0003017545 scopus 로고    scopus 로고
    • On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems
    • MR1607972 (98m:35049)
    • Bandle Catherine, Marcus Moshe On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems. Differential Integral Equations 1998, 11(1):23-34. MR1607972 (98m:35049).
    • (1998) Differential Integral Equations , vol.11 , Issue.1 , pp. 23-34
    • Bandle, C.1    Marcus, M.2
  • 3
    • 15344346084 scopus 로고    scopus 로고
    • Qualitative and quantitative estimates for large solutions to semilinear equations
    • MR1855986 (2002j:35099)
    • Berhanu S., Porru G. Qualitative and quantitative estimates for large solutions to semilinear equations. Commun. Appl. Anal. 2000, 4(1):121-131. MR1855986 (2002j:35099).
    • (2000) Commun. Appl. Anal. , vol.4 , Issue.1 , pp. 121-131
    • Berhanu, S.1    Porru, G.2
  • 4
    • 77952957011 scopus 로고    scopus 로고
    • Haim Brezis, Personal communication to L. Véron
    • Haim Brezis, Personal communication to L. Véron, 2005.
    • (2005)
  • 5
    • 77952958728 scopus 로고    scopus 로고
    • Conference, Bergamo
    • P.J. McKenna, Conference, Bergamo, 2002.
    • (2002)
    • McKenna, P.J.1
  • 6
    • 34247178568 scopus 로고    scopus 로고
    • Back to the Keller-Osserman condition for boundary blow-up solutions
    • MR2308040 (2008e:35062)
    • Dumont Serge, Dupaigne Louis, Goubet Olivier, Râdulescu Vicentiu Back to the Keller-Osserman condition for boundary blow-up solutions. Adv. Nonlinear Stud. 2007, 7(2):271-298. MR2308040 (2008e:35062).
    • (2007) Adv. Nonlinear Stud. , vol.7 , Issue.2 , pp. 271-298
    • Dumont, S.1    Dupaigne, L.2    Goubet, O.3    Râdulescu, V.4
  • 7
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • MR544879 (80h:35043)
    • Gidas B., Ni Wei Ming, Nirenberg L. Symmetry and related properties via the maximum principle. Comm. Math. Phys. 1979, 68(3):209-243. MR544879 (80h:35043).
    • (1979) Comm. Math. Phys. , vol.68 , Issue.3 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 8
    • 84980083679 scopus 로고
    • On solutions of Δu=f(u)
    • MR0091407 (19,964c)
    • Keller J.B. On solutions of Δu=f(u). Comm. Pure Appl. Math. 1957, 10:503-510. MR0091407 (19,964c).
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 503-510
    • Keller, J.B.1
  • 9
    • 84972535485 scopus 로고
    • Asymptotic behavior of solutions of boundary blowup problems
    • MR1270115 (95c:35084)
    • Lazer A.C., McKenna P.J. Asymptotic behavior of solutions of boundary blowup problems. Differential Integral Equations 1994, 7(3-4):1001-1019. MR1270115 (95c:35084).
    • (1994) Differential Integral Equations , vol.7 , Issue.3-4 , pp. 1001-1019
    • Lazer, A.C.1    McKenna, P.J.2
  • 10
    • 0031126752 scopus 로고    scopus 로고
    • Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up
    • MR1422811 (97h:35049)
    • McKenna P.J., Reichel W., Walter W. Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up. Nonlinear Anal. 1997, 28(7):1213-1225. MR1422811 (97h:35049).
    • (1997) Nonlinear Anal. , vol.28 , Issue.7 , pp. 1213-1225
    • McKenna, P.J.1    Reichel, W.2    Walter, W.3
  • 11
    • 84972521660 scopus 로고
    • On the inequality Δu≥f(u)
    • MR0098239 (20#4701)
    • Osserman Robert On the inequality Δu≥f(u). Pacific J. Math. 1957, 7:1641-1647. MR0098239 (20#4701).
    • (1957) Pacific J. Math. , vol.7 , pp. 1641-1647
    • Osserman, R.1
  • 12
    • 33646356694 scopus 로고    scopus 로고
    • Symmetry of large solutions of nonlinear elliptic equations in a ball
    • MR2240175 (2007b:35131)
    • Porretta Alessio, Véron Laurent Symmetry of large solutions of nonlinear elliptic equations in a ball. J. Funct. Anal. 2006, 236(2):581-591. MR2240175 (2007b:35131).
    • (2006) J. Funct. Anal. , vol.236 , Issue.2 , pp. 581-591
    • Porretta, A.1    Véron, L.2

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