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Volumn 206, Issue 3, 2012, Pages 1073-1083

Minimization of the k-th eigenvalue of the Dirichlet Laplacian

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EID: 84868092964     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-012-0561-0     Document Type: Article
Times cited : (108)

References (13)
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    • Alt, H.W.1    Caffarelli, L.A.2
  • 3
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    • Uniform concentration-compactness for Sobolev spaces on variable domains
    • Bucur D.: Uniform concentration-compactness for Sobolev spaces on variable domains. J. Differ. Equ. 162, 427-450 (2000).
    • (2000) J. Differ. Equ. , vol.162 , pp. 427-450
    • Bucur, D.1
  • 4
    • 1642354873 scopus 로고    scopus 로고
    • Regularity of optimal convex shapes
    • Bucur D.: Regularity of optimal convex shapes. J. Convex Anal. 10, 501-516 (2003).
    • (2003) J. Convex Anal. , vol.10 , pp. 501-516
    • Bucur, D.1
  • 7
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    • An existence result for a class of shape optimization problems
    • Buttazzo G., Dal Maso G.: An existence result for a class of shape optimization problems. Arch. Rational Mech. Anal. 122, 183-195 (1993).
    • (1993) Arch. Rational Mech. Anal. , vol.122 , pp. 183-195
    • Buttazzo, G.1    Dal Maso, G.2
  • 8
    • 33947704957 scopus 로고    scopus 로고
    • A geometric approach to free boundary problems
    • American Mathematical Society, Providence
    • Caffarelli, L., Salsa, S.: A geometric approach to free boundary problems. In: Graduate Studies in Mathematics. American Mathematical Society, Providence, 2005.
    • (2005) Graduate Studies in Mathematics
    • Caffarelli, L.1    Salsa, S.2
  • 9
    • 0002976168 scopus 로고
    • Heat kernels and spectral theory
    • Cambridge University Press, Cambridge
    • Davies, E. B.: Heat kernels and spectral theory. In: Cambridge Tracts in Mathematics, vol. 92. Cambridge University Press, Cambridge, 1990.
    • (1990) Cambridge Tracts in Mathematics , vol.92
    • Davies, E.B.1
  • 11
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    • Domain continuity for an elliptic operator of fourth order
    • Hayouni M., Pierre M.: Domain continuity for an elliptic operator of fourth order. Commun. Contemp. Math. 4, 1-14 (2002).
    • (2002) Commun. Contemp. Math. , vol.4 , pp. 1-14
    • Hayouni, M.1    Pierre, M.2
  • 13
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    • Existence of minimizers for spectral problems
    • (Preprint)
    • Mazzoleni, D., Pratelli, A.: Existence of minimizers for spectral problems. CVGMT (2011) (Preprint).
    • (2011) CVGMT
    • Mazzoleni, D.1    Pratelli, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.