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Volumn 12, Issue 2, 2005, Pages 243-263

An improved Hardy-Sobolev inequality in W 1,p and its application to Schrödinger operators

Author keywords

Eigenvalues; Hardy inequality; Perturbed Schr dinger operators

Indexed keywords


EID: 25644456028     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00030-005-0009-4     Document Type: Article
Times cited : (44)

References (11)
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    • An improved Hardy-Sobolev inequality and its applications
    • ADIMURTHI, M. RAMASWAMY and N. CHAUDHURI, An improved Hardy-Sobolev inequality and its applications, Proc. AMS. 2001, 1-17.
    • (2001) Proc. AMS. , pp. 1-17
    • Adimurthi1    Ramaswamy, M.2    Chaudhuri, N.3
  • 3
    • 25644449902 scopus 로고    scopus 로고
    • Existence and non existence of first eigenvalue for perturbed Hardy-Sobolev operator
    • to appear
    • ADIMURTHI and K. SANDEEP, Existence and Non existence of first eigenvalue for perturbed Hardy-Sobolev operator, to appear in Proc. Royar Soc. Edin (2001).
    • (2001) Proc. Royar Soc. Edin
    • Adimurthi1    Sandeep, K.2
  • 6
    • 0034688530 scopus 로고    scopus 로고
    • External functions for Hardy's inequality with weight
    • H. BREZIS, M. MARCUS and I. SHAFRIR, External functions for Hardy's inequality with weight, Journal of Funct. Anal. 171 (2000), 177-191.
    • (2000) Journal of Funct. Anal. , vol.171 , pp. 177-191
    • Brezis, H.1    Marcus, M.2    Shafrir, I.3
  • 7
    • 0010240778 scopus 로고    scopus 로고
    • Blow up of solutions of some non linear elliptic problems
    • R. 96018
    • H. BREZIS and J.L. VÁZQUEZ, Blow up of solutions of some non linear elliptic problems, pub. lab. D'Analyse Num, R. 96018, (1996).
    • (1996) Pub. Lab. D'Analyse Num
    • Brezis, H.1    Vázquez, J.L.2
  • 9
    • 0002667676 scopus 로고
    • The Stability and Instability of Relativistic Matter
    • E.H. LIEB and H.-T. YAU, The Stability and Instability of Relativistic Matter, Commun. Math. Phys. 118 (1988), 177-213.
    • (1988) Commun. Math. Phys. , vol.118 , pp. 177-213
    • Lieb, E.H.1    Yau, H.-T.2
  • 11
    • 0001686773 scopus 로고    scopus 로고
    • The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
    • J.L. VÁZQUEZ and E. ZUAZUA, The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential, J. Funct. Anal. 173 (1) (2000), 103-153.
    • (2000) J. Funct. Anal. , vol.173 , Issue.1 , pp. 103-153
    • Vázquez, J.L.1    Zuazua, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.