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Volumn 100, Issue 3, 2013, Pages 433-453

Existence of minimizers for spectral problems

Author keywords

Dirichlet Laplacian; Eigenvalue problems; Minimization of spectral functionals; Shape optimization

Indexed keywords


EID: 84883232805     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2013.01.008     Document Type: Article
Times cited : (81)

References (10)
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    • February
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    • Ashbaugh, M.S.1
  • 2
    • 84967713029 scopus 로고
    • Proof of the Payne-Pölya-Weinberger conjecture
    • Ashbaugh M.S., Benguria R. Proof of the Payne-Pölya-Weinberger conjecture. Bull. Amer. Math. Soc. 1991, 25(1):19-29.
    • (1991) Bull. Amer. Math. Soc. , vol.25 , Issue.1 , pp. 19-29
    • Ashbaugh, M.S.1    Benguria, R.2
  • 3
    • 84878600994 scopus 로고    scopus 로고
    • On the minimization of Dirichlet eigenvalues of the Laplace operator
    • van den Berg M., Iversen M. On the minimization of Dirichlet eigenvalues of the Laplace operator. J. Geom. Anal. 2013, 10.1007/s12220-011-9258-0.
    • (2013) J. Geom. Anal.
    • van den Berg, M.1    Iversen, M.2
  • 4
    • 84868092964 scopus 로고    scopus 로고
    • Minimiziation of the k-th eigenvalue of the Dirichlet Laplacian
    • Bucur D. Minimiziation of the k-th eigenvalue of the Dirichlet Laplacian. Arch. Ration. Mech. Anal. 2012, 206:1073-1083.
    • (2012) Arch. Ration. Mech. Anal. , vol.206 , pp. 1073-1083
    • Bucur, D.1
  • 6
    • 0004690381 scopus 로고    scopus 로고
    • Minimization of the third eigenvalue of the Dirichlet Laplacian
    • Bucur D., Henrot A. Minimization of the third eigenvalue of the Dirichlet Laplacian. Proc. R. Soc. London 2000, 456:985-996.
    • (2000) Proc. R. Soc. London , vol.456 , pp. 985-996
    • Bucur, D.1    Henrot, A.2
  • 7
    • 21144478883 scopus 로고
    • 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. Ration. Mech. Anal. 1993, 122:183-195.
    • (1993) Arch. Ration. Mech. Anal. , vol.122 , pp. 183-195
    • Buttazzo, G.1    Dal Maso, G.2
  • 8
    • 0042372826 scopus 로고    scopus 로고
    • Minimization problems for eigenvalues of the Laplacian
    • Henrot A. Minimization problems for eigenvalues of the Laplacian. J. Evol. Equ. 2003, 3:443-461.
    • (2003) J. Evol. Equ. , vol.3 , pp. 443-461
    • Henrot, A.1
  • 9
    • 38749098861 scopus 로고    scopus 로고
    • Extremum Problems for Eigenvalues of Elliptic Operators
    • Birkhäuser Verlag, Basel
    • Henrot A. Extremum Problems for Eigenvalues of Elliptic Operators. Frontiers in Mathematics 2006, Birkhäuser Verlag, Basel.
    • (2006) Frontiers in Mathematics
    • Henrot, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.