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Volumn 29, Issue 3, 2003, Pages 821-829

Solutions with boundary blow-up for a class of nonlinear elliptic problems

Author keywords

Existence result; Explosive solution; Logistic equation; Maximum principle

Indexed keywords


EID: 0041737981     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (34)

References (16)
  • 1
    • 84864892321 scopus 로고    scopus 로고
    • On the solvability of a semilinear elliptic equation via an associated eigenvalue problem
    • S. Alama and G. Tarantello, On the solvability of a semilinear elliptic equation via an associated eigenvalue problem, Math. Z., 221 (1996), 467-493.
    • (1996) Math. Z. , vol.221 , pp. 467-493
    • Alama, S.1    Tarantello, G.2
  • 2
    • 0000217807 scopus 로고
    • The Thomas-Fermi-Von Weizsacker theory of atoms and molecules
    • R. Benguria, H. Brezis and E. Lieb, The Thomas-Fermi-Von Weizsacker theory of atoms and molecules, Comm. Math. Phys., 79 (1981), 167-180.
    • (1981) Comm. Math. Phys. , vol.79 , pp. 167-180
    • Benguria, R.1    Brezis, H.2    Lieb, E.3
  • 4
    • 46149141759 scopus 로고
    • Remarks on sublinear elliptic equations
    • H. Brezis and L. Oswald, Remarks on sublinear elliptic equations, Nonlinear Anal., T.M.A., 10 (1986), 55-64.
    • (1986) Nonlinear Anal., T.M.A. , vol.10 , pp. 55-64
    • Brezis, H.1    Oswald, L.2
  • 5
    • 0036466571 scopus 로고    scopus 로고
    • Blow-up boundary solutions of semilinear elliptic problems
    • F. Cîrstea and V. Rǎdulescu, Blow-up boundary solutions of semilinear elliptic problems, Nonlinear Anal., T.M.A., 48 (2002), 521-534.
    • (2002) Nonlinear Anal., T.M.A. , vol.48 , pp. 521-534
    • Cîrstea, F.1    Rǎdulescu, V.2
  • 6
    • 0001510907 scopus 로고
    • Positive solutions of a semilinear equation on a compact manifold
    • M.A. del Pino, Positive solutions of a semilinear equation on a compact manifold, Nonlinear Anal., T.M.A., 22 (1994), 1423-1430.
    • (1994) Nonlinear Anal., T.M.A. , vol.22 , pp. 1423-1430
    • Del Pino, M.A.1
  • 7
    • 0033233493 scopus 로고    scopus 로고
    • Blow-up solutions for a class of semilinear elliptic and parabolic equations
    • Y. Du and Q. Huang, Blow-up solutions for a class of semilinear elliptic and parabolic equations, SIAM J. Math. Anal., 31 (1999), 1-18.
    • (1999) SIAM J. Math. Anal. , vol.31 , pp. 1-18
    • Du, Y.1    Huang, Q.2
  • 8
    • 84980083679 scopus 로고
    • On solution of δu = f(u)
    • J.B. Keller, On solution of δu = f(u), Comm. Pure Appl. Math., 10 (1957), 503-510.
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 503-510
    • Keller, J.B.1
  • 11
    • 0003113169 scopus 로고
    • On solutions with blow-up at the boundary for a class of semilinear elliptic equations
    • G. Buttazzo et al., Eds., Plenum Press, New York
    • M. Marcus, On solutions with blow-up at the boundary for a class of semilinear elliptic equations, in Developments in Partial Differential Equations and Applications to Mathematical Physics (G. Buttazzo et al., Eds.), Plenum Press, New York (1992), 65-77.
    • (1992) Developments in Partial Differential Equations and Applications to Mathematical Physics , pp. 65-77
    • Marcus, M.1
  • 12
    • 0000787062 scopus 로고    scopus 로고
    • Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
    • M. Marcus and L. Véron, Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations, Ann. Inst. H. Poincaré Anal. Non Linéire, 14 (1997), 237-274.
    • (1997) Ann. Inst. H. Poincaré Anal. Non Linéire , vol.14 , pp. 237-274
    • Marcus, M.1    Véron, L.2
  • 13
    • 84972521660 scopus 로고
    • On the inequality δu ≥ f(u)
    • R. Osserman, On the inequality δu ≥ f(u), Pacific J. Math., 7 (1957), 1641-1647.
    • (1957) Pacific J. Math. , vol.7 , pp. 1641-1647
    • Osserman, R.1
  • 15
    • 0002728521 scopus 로고
    • Scalar curvature and conformal deformation of hyperbolic space
    • A. Ratto, M. Rigoli and L. Véron, Scalar curvature and conformal deformation of hyperbolic space, J. Funct. Anal., 121 (1994), 15-77.
    • (1994) J. Funct. Anal. , vol.121 , pp. 15-77
    • Ratto, A.1    Rigoli, M.2    Véron, L.3
  • 16
    • 0042705167 scopus 로고    scopus 로고
    • Growing-up positive solutions of semilinear elliptic boundary value problems
    • K. Umezu and K. Taira, Growing-up positive solutions of semilinear elliptic boundary value problems, J. Math. Anal. Appl. 238 (1999), 196-215.
    • (1999) J. Math. Anal. Appl. , vol.238 , pp. 196-215
    • Umezu, K.1    Taira, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.