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Volumn 18, Issue 3, 2003, Pages 243-251

Boundary blow-up for a Brezis-Peletier problem on a singular domain

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EID: 0242467417     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-003-0197-x     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 38249034469 scopus 로고
    • Elliptic equations with nearly critical growth
    • Atkinson, F., Peletier, L. A.: Elliptic equations with nearly critical growth. J. Diff. Eq. 70, 349-365 (1987)
    • (1987) J. Diff. Eq. , vol.70 , pp. 349-365
    • Atkinson, F.1    Peletier, L.A.2
  • 2
    • 0003246964 scopus 로고
    • Critical points at infinity in some variational problems
    • Longman
    • Bahn, A.: Critical points at infinity in some variational problems. Pitman Research Notes in Mathematics Series 182, Longman, 1989
    • (1989) Pitman Research Notes in Mathematics Series , vol.182
    • Bahn, A.1
  • 3
    • 0003007474 scopus 로고
    • On a variational problem with lack of compactness: The topological effect of the critical points at infinity
    • Bahri, A., Li, Y.Y., Rey, O.: On a variational problem with lack of compactness: the topological effect of the critical points at infinity. Calc. Var. and Part. Diff. Eq. 3, 67-93 (1995)
    • (1995) Calc. Var. and Part. Diff. Eq. , vol.3 , pp. 67-93
    • Bahri, A.1    Li, Y.Y.2    Rey, O.3
  • 4
    • 84941275804 scopus 로고
    • A relation between pointwise convergence of functions and convergence of functional
    • Brezis, H., Lieb, E.: A relation between pointwise convergence of functions and convergence of functional. Proc. Amer. Math. Soc. 88, 486-490 (1983)
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 486-490
    • Brezis, H.1    Lieb, E.2
  • 7
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • Gidas, B., Ni, W.M., Nirenberg, L.: Symmetry and related properties via the maximum principle. Comm. Math. Phys. 68, 209-243 (1979)
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 8
    • 84903853123 scopus 로고
    • Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
    • Han, Z.: Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent. Ann. Inst. Poincaré, Anal, non-lin. 8, 159-174 (1991)
    • (1991) Ann. Inst. Poincaré, Anal, Non-lin. , vol.8 , pp. 159-174
    • Han, Z.1
  • 9
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations, the limit case
    • 1.1
    • Lions, P.L.: The concentration-compactness principle in the calculus of variations, the limit case. Rev. Mat. Iberoamericana 1.1, 145-201 (1985), 1.2, 45-121 (1985)
    • (1985) Rev. Mat. Iberoamericana , pp. 145-201
    • Lions, P.L.1
  • 10
    • 0039145512 scopus 로고
    • 1.2
    • Lions, P.L.: The concentration-compactness principle in the calculus of variations, the limit case. Rev. Mat. Iberoamericana 1.1, 145-201 (1985), 1.2, 45-121 (1985)
    • (1985) Rev. Mat. Iberoamericana , pp. 45-121
  • 11
    • 0000514956 scopus 로고
    • Eigenfunctions of the equation Δu + λf(u) = 0
    • Pohozaev, S.: Eigenfunctions of the equation Δu + λf(u) = 0. Soviet. Math. Dokl. 6, 1408-1411 (1965)
    • (1965) Soviet. Math. Dokl. , vol.6 , pp. 1408-1411
    • Pohozaev, S.1
  • 12
    • 0002944738 scopus 로고
    • The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
    • Rey, O.: The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent. J. Funct. Anal. 89, 1-52 (1990)
    • (1990) J. Funct. Anal. , vol.89 , pp. 1-52
    • Rey, O.1
  • 13
    • 0002432857 scopus 로고
    • Proof of two conjectures of H. Brezis and L. A. Peletier
    • Rey, O.: Proof of two conjectures of H. Brezis and L. A. Peletier. Manus. Math. 65, 19-37 (1989)
    • (1989) Manus. Math. , vol.65 , pp. 19-37
    • Rey, O.1
  • 14
    • 0002859929 scopus 로고    scopus 로고
    • The topological impact of critical points in a variational problem with lack of compactness: The dimension 3
    • Rey, O.: The topological impact of critical points in a variational problem with lack of compactness: the dimension 3. Adv. Diff. Eq. 4, 581-616 (1999)
    • (1999) Adv. Diff. Eq. , vol.4 , pp. 581-616
    • Rey, O.1
  • 15
    • 0000220970 scopus 로고
    • A global compactness result for elliptic boundary vale problems involving limiting nonlinearities
    • Struwe, M.: A global compactness result for elliptic boundary vale problems involving limiting nonlinearities. Math. Z. 187, 511-517 (1984)
    • (1984) Math. Z. , vol.187 , pp. 511-517
    • Struwe, M.1
  • 16
    • 0039835767 scopus 로고    scopus 로고
    • Asymptotic behavior of least energy solutions to a semilinear Dirichlet problem near the critical Sobolev exponent
    • Wei, J.: Asymptotic behavior of least energy solutions to a semilinear Dirichlet problem near the critical Sobolev exponent. J. Math. Soc. Japan 50, 139-153 (1998)
    • (1998) J. Math. Soc. Japan , vol.50 , pp. 139-153
    • Wei, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.