메뉴 건너뛰기




Volumn 128, Issue 1, 2000, Pages 75-84

On a sobolev inequality with remainder terms

Author keywords

Fourth order equation; Nonlinear eigenvalue problems; Remainder terms; Sobolev inequality

Indexed keywords


EID: 33646854779     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (51)

References (9)
  • 1
    • 0002327136 scopus 로고
    • A note on the Sobolev inequality
    • MR 92i:46033
    • G. Bianchi and H. Egnell, A note on the Sobolev inequality, J. Funct. Anal. 100 (1991), 18-24. MR 92i:46033
    • (1991) J. Funct. Anal. , vol.100 , pp. 18-24
    • Bianchi, G.1    Egnell, H.2
  • 2
    • 0002405776 scopus 로고
    • Sobolev inequalities with remainder terms
    • MR 86i:46033
    • H. Brezis and E. Lieb, Sobolev inequalities with remainder terms, J. Funct. Anal. 62 (1985), 73-86. MR 86i:46033
    • (1985) J. Funct. Anal. , vol.62 , pp. 73-86
    • Brezis, H.1    Lieb, E.2
  • 3
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • MR 84h:46053
    • H. Brezis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983), 437-477. MR 84h:46053
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 4
    • 0000454829 scopus 로고
    • Critical exponents, critical dimensions, and the biharmonic operator
    • MR 91k:35191
    • D.E. Edmunds, D. Fortunato and E. Janelli, Critical exponents, critical dimensions, and the biharmonic operator, Arch. Rational Mech. Anal. 112 (1990), 269-289. MR 91k:35191
    • (1990) Arch. Rational Mech. Anal. , vol.112 , pp. 269-289
    • Edmunds, D.E.1    Fortunato, D.2    Janelli, E.3
  • 5
  • 6
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations: The limiting case (parts 1 and 2)
    • MR 87c:49007; MR 87j:49012
    • P. L. Lions, The concentration-compactness principle in the calculus of variations: the limiting case (parts 1 and 2), Riv. Mat. Iberoamericana 1 (1985), 145-201, 45-121. MR 87c:49007; MR 87j:49012
    • (1985) Riv. Mat. Iberoamericana , vol.1 , pp. 145-201
    • Lions, P.L.1
  • 8
    • 34250392866 scopus 로고
    • Best constant in Sobolev inequalities
    • MR 57:3846
    • G. Talenti, Best constant in Sobolev inequalities, Ann. Mat. Pura Appl. 110 (1976), 353-372. MR 57:3846
    • (1976) Ann. Mat. Pura Appl. , vol.110 , pp. 353-372
    • Talenti, G.1
  • 9
    • 38249007658 scopus 로고
    • Sharp constant in a Sobolev inequality
    • MR 94g:35035
    • X. Wang, Sharp constant in a Sobolev inequality, Nonlinear Analysis: TMA, 20 (1993), 261-268. MR 94g:35035
    • (1993) Nonlinear Analysis: TMA , vol.20 , pp. 261-268
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.