메뉴 건너뛰기




Volumn 348, Issue 7, 1996, Pages 2663-2671

Extremal functions for Moser's inequality

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21344447692     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-96-01541-3     Document Type: Article
Times cited : (220)

References (14)
  • 1
    • 0000123402 scopus 로고
    • Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the n-Laplacian
    • MR 91j:35016
    • Adimurthi, Y. Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the n-Laplacian, Ann. Scuola Norm. Sup. Pisa Cl Sci. (4) 17 (1990), 393-414. MR 91j:35016
    • (1990) Ann. Scuola Norm. Sup. Pisa Cl Sci. (4) , vol.17 , pp. 393-414
    • Adimurthi, Y.1
  • 3
    • 0001611867 scopus 로고
    • On the existence of an extremal function for an inequality of J. Moser
    • MR 88f:46070
    • Carleson, L., and Chang, S.-Y. A., On the existence of an extremal function for an inequality of J. Moser, Bull. Sci. Math. Astro. (2) 110 (1986), 113-127. MR 88f:46070
    • (1986) Bull. Sci. Math. Astro. (2) , vol.110 , pp. 113-127
    • Carleson, L.1    Chang, S.-Y.A.2
  • 5
    • 51249167010 scopus 로고
    • Extremal functions for the Trudinger-Moser inequality in 2 dimensions
    • MR 93k:58073
    • Flucher, M., Extremal functions for the Trudinger-Moser inequality in 2 dimensions, Comm. Math. Helv. 67 (1992), 471-497. MR 93k:58073
    • (1992) Comm. Math. Helv. , vol.67 , pp. 471-497
    • Flucher, M.1
  • 6
    • 0003518381 scopus 로고
    • Non-linear potential theory of degenerate elliptic equations
    • MR 94e:31003
    • Heinonen J., Kilpelainen, T, and Martio, O., Non-linear potential theory of degenerate elliptic equations Oxford Sci. Pub. (1993). MR 94e:31003
    • (1993) Oxford Sci. Pub.
    • Heinonen, J.1    Kilpelainen, T.2    Martio, O.3
  • 7
    • 0003269816 scopus 로고
    • Rearrangements and convexity of level sets in PDE
    • MR 87a:35001
    • Kawohl, B., Rearrangements and convexity of level sets in PDE, Lecture Notes in Math. 1150 (1985). MR 87a:35001
    • (1985) Lecture Notes in Math. , vol.1150
    • Kawohl, B.1
  • 8
    • 0000875347 scopus 로고
    • Singular solutions of the p-Laplace equation
    • MR 87j:35096
    • Kichenassamy, S., and Veron L., Singular solutions of the p-Laplace equation, Math. Ann. 275 (1986), 599-615. MR 87j:35096
    • (1986) Math. Ann. , vol.275 , pp. 599-615
    • Kichenassamy, S.1    Veron, L.2
  • 9
    • 0000239618 scopus 로고
    • Degenerate elliptic equations with measure data and nonlinear potentials
    • MR 94c:35091
    • Kilpelainen, T., and Maly, J., Degenerate elliptic equations with measure data and nonlinear potentials, Ann. Scuola Norm. Sup. Pisa. Cl. Sci. (4) 19 (1992), 591-613. MR 94c:35091
    • (1992) Ann. Scuola Norm. Sup. Pisa. Cl. Sci. (4) , vol.19 , pp. 591-613
    • Kilpelainen, T.1    Maly, J.2
  • 11
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variation, the limit case, Part I
    • MR 87j:49012
    • Lions, P. L., The concentration-compactness principle in the calculus of variation, the limit case, Part I, Rev. Mat. Iberoamericana 1 (1985), 145-201. MR 87j:49012
    • (1985) Rev. Mat. Iberoamericana , vol.1 , pp. 145-201
    • Lions, P.L.1
  • 12
    • 0001173833 scopus 로고
    • A sharp form of an inequality by N. Trudinger
    • MR 46:662
    • Moser, J., A sharp form of an inequality by N. Trudinger, Indianna Univ. Math. J. 20 (1971), 1077-1092. MR 46:662
    • (1971) Indianna Univ. Math. J. , vol.20 , pp. 1077-1092
    • Moser, J.1
  • 14
    • 0000453612 scopus 로고
    • On embeddings into Orlicz spaces and some applications
    • MR 35:7121
    • Trudinger, N. S., On embeddings into Orlicz spaces and some applications, J. Math. Mech. 17 (1967), 473-484. MR 35:7121
    • (1967) J. Math. Mech. , vol.17 , pp. 473-484
    • Trudinger, N.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.