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Volumn 21, Issue 5-6, 1996, Pages 971-991

Elliptic equations, principal eigenvalue and dependence on the domain

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EID: 0040240265     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309608821213     Document Type: Article
Times cited : (13)

References (27)
  • 1
    • 0002943680 scopus 로고
    • Neumann eigenvalue problems on exterior perturbations of the domain
    • J.M. Arrieta, "Neumann Eigenvalue Problems on Exterior Perturbations of the Domain", J. Diff. Eq. 118, No. 1, (1995) 54-103.
    • (1995) J. Diff. Eq. , vol.118 , Issue.1 , pp. 54-103
    • Arrieta, J.M.1
  • 2
    • 0000649508 scopus 로고
    • Rates of eigenvalues on a dumbbell domain. Simple eigenvalue case
    • J.M. Arrieta, "Rates of Eigenvalues on a Dumbbell Domain. Simple Eigenvalue Case", Transactions of the A.M.S. Vol. 347, N. 9, (1995) 3503-3531
    • (1995) Transactions of the A.M.S. , vol.347 , Issue.9 , pp. 3503-3531
    • Arrieta, J.M.1
  • 3
    • 0001774105 scopus 로고
    • Eigenvalue problems for nonsmoothly perturbed domains
    • J.M. Arrieta, J.K. Hale and Q. Han, "Eigenvalue Problems for Nonsmoothly Perturbed Domains", J. Diff. Eq 91, No.1, (1991) 24-52.
    • (1991) J. Diff. Eq , vol.91 , Issue.1 , pp. 24-52
    • Arrieta, J.M.1    Hale, J.K.2    Han, Q.3
  • 4
    • 0001238188 scopus 로고
    • Continuous dependence of eigenvalues on the domains
    • I. Babuska and R. Vyborny, "Continuous Dependence of Eigenvalues on the Domains," Czech. Math. J., 15(1965) 169-178.
    • (1965) Czech. Math. J. , vol.15 , pp. 169-178
    • Babuska, I.1    Vyborny, R.2
  • 5
    • 84980144457 scopus 로고
    • Scattering frequencies of resonators
    • J.T. Beale, "Scattering Frequencies of Resonators," Comm. Pure Appl. Math., 26 (1973) 549-563.
    • (1973) Comm. Pure Appl. Math. , vol.26 , pp. 549-563
    • Beale, J.T.1
  • 6
    • 84990602584 scopus 로고
    • The principal eigenvalue and maximum principle for second-order elliptic operators in general domains
    • H. Berestycki, L. Nirenberg and S.R.S. Varadhan, "The Principal Eigenvalue and Maximum Principle for Second-Order Elliptic Operators in General Domains", Comm. Pure Appl. Math., 47, (1994) 47-92.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 47-92
    • Berestycki, H.1    Nirenberg, L.2    Varadhan, S.R.S.3
  • 7
    • 58149363749 scopus 로고
    • Eigenvalues and resonances for domains with tubes: Neumann boundary conditions
    • R. Brown, P.D. Hislop and A. Martinez, "Eigenvalues and Resonances for Domains with Tubes: Neumann Boundary Conditions", J. Diff. Eq. Vol. 115, No. 2 (1995) 458-476.
    • (1995) J. Diff. Eq. , vol.115 , Issue.2 , pp. 458-476
    • Brown, R.1    Hislop, P.D.2    Martinez, A.3
  • 8
    • 84990710937 scopus 로고
    • On the Alexandroff-Bakelman-Pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations
    • X. Cabré, "On the Alexandroff-Bakelman-Pucci Estimate and the Reversed Hölder Inequality for Solutions of Elliptic and Parabolic Equations", Comm. Pure Appl. Math., 48, (1995) 539-570.
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 539-570
    • Cabré, X.1
  • 9
    • 0000710192 scopus 로고
    • Spectra of domains in compact manifolds
    • I. Chavel and E.A. Feldman, "Spectra of Domains in Compact Manifolds," J. Funct. Anal., 30 (1978) 198-222.
    • (1978) J. Funct. Anal. , vol.30 , pp. 198-222
    • Chavel, I.1    Feldman, E.A.2
  • 12
    • 0002081870 scopus 로고
    • Reaction-diffusion equations on thin domains
    • J. K. Hale and G. Raugel, "Reaction-Diffusion Equations on Thin Domains", J. Math. Pures Appl., 71 (1992), 33-95.
    • (1992) J. Math. Pures Appl. , vol.71 , pp. 33-95
    • Hale, J.K.1    Raugel, G.2
  • 13
    • 0021306272 scopus 로고
    • A nonlinear parabolic equation with varying domain
    • J. K. Hale and J. M. Vegas, "A Nonlinear Parabolic Equation with Varying Domain", Arch. Rational Mech. Anal. 86 (1984), 99-123.
    • (1984) Arch. Rational Mech. Anal. , vol.86 , pp. 99-123
    • Hale, J.K.1    Vegas, J.M.2
  • 14
    • 0000620718 scopus 로고
    • The essential spectrum of Neumann laplacians on some bounded singular domains
    • R. Hempel, L. Seco and B. Simon, "The Essential Spectrum of Neumann Laplacians on some Bounded Singular Domains", J. Funct. Anal., 102 (1991), 448-483.
    • (1991) J. Funct. Anal. , vol.102 , pp. 448-483
    • Hempel, R.1    Seco, L.2    Simon, B.3
  • 15
    • 0000907449 scopus 로고
    • Scattering resonances of a Helmholtz resonator
    • P.D. Hislop and A. Martinez,"Scattering Resonances of a Helmholtz Resonator", Indiana U. Math. J. 40, (1991) 767-788.
    • (1991) Indiana U. Math. J. , vol.40 , pp. 767-788
    • Hislop, P.D.1    Martinez, A.2
  • 16
    • 84972554912 scopus 로고
    • Perturbation formula of eigenvalues in a singularly perturbed domain
    • S. Jimbo, "Perturbation Formula of Eigenvalues in a Singularly Perturbed Domain", J. Math. Soc. Japan 45 (2), (1993) 339-356.
    • (1993) J. Math. Soc. Japan , vol.45 , Issue.2 , pp. 339-356
    • Jimbo, S.1
  • 17
    • 84878178333 scopus 로고
    • Remarks on the behavior of certain eigenvalues on a singularly perturbed domain with several thin channels
    • S. Jimbo and Y. Morita, "Remarks on the Behavior of Certain Eigenvalues on a Singularly Perturbed Domain with Several Thin Channels", Comm. Part. Diff. Eq., 17 (3&4), (1992), 523-552.
    • (1992) Comm. Part. Diff. Eq. , vol.17 , Issue.3-4 , pp. 523-552
    • Jimbo, S.1    Morita, Y.2
  • 18
    • 84972808892 scopus 로고
    • Sur certaines propriétés spectrales des perturbations du domaine dans les problèmes aux limites
    • M. Lobo-Hidalgo and E. Sanchez-Palencia, "Sur Certaines Propriétés Spectrales des Perturbations du Domaine dans les Problèmes aux Limites," Comm. Part. Diff. Eq., 4 (1979) 1085-1098.
    • (1979) Comm. Part. Diff. Eq. , vol.4 , pp. 1085-1098
    • Lobo-Hidalgo, M.1    Sanchez-Palencia, E.2
  • 19
    • 0001106398 scopus 로고
    • Perturbazione dell spettro dell'operators di laplace, in relazione ad una variazione del campo
    • fasc. I
    • Micheletti, A. M., "Perturbazione dell Spettro dell'operators di Laplace, in Relazione ad una Variazione del Campo", Ann. Scuola Norm. Sup. Pisa, vol. XXVI, fasc. I (1972) 151-169.
    • (1972) Ann. Scuola Norm. Sup. Pisa , vol.26 , pp. 151-169
    • Micheletti, A.M.1
  • 20
    • 0000028292 scopus 로고
    • Metrica per famiglie di domini limitati e proprietà generiche degli autovalori
    • fasc. III
    • Micheletti, A. M., "Metrica per Famiglie di Domini Limitati e Proprietà Generiche degli Autovalori", Ann. Scuola Norm. Sup. Pisa, vol. XXVI, fasc. III (1973) 683-694.
    • (1973) Ann. Scuola Norm. Sup. Pisa , vol.26 , pp. 683-694
    • Micheletti, A.M.1
  • 21
    • 0005556128 scopus 로고
    • Perturbazione dell spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo
    • Micheletti, A. M., "Perturbazione dell Spettro di un Operatore Ellittico di Tipo Variazionale, in Relazione ad una Variazione del Campo", Ann. Mat. Pure et Applicata (IV), vol. XCVII (1973), 267-281.
    • (1973) Ann. Mat. Pure et Applicata (IV) , vol.97 , pp. 267-281
    • Micheletti, A.M.1
  • 22
    • 35448995736 scopus 로고
    • Perturbazione dell spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo (II)
    • Micheletti, A. M., "Perturbazione dell Spettro di un Operatore Ellittico di Tipo Variazionale, in Relazione ad una Variazione del Campo (II)", Ricerche Mat. 25 (1976), no. 2, 187-200.
    • (1976) Ricerche Mat. , vol.25 , Issue.2 , pp. 187-200
    • Micheletti, A.M.1
  • 23
    • 0039545937 scopus 로고
    • Barriers on cones for uniformly elliptic operators
    • K. Miller, "Barriers on Cones for Uniformly Elliptic Operators" Ann. Mat. Pura Appl. 76, 1967, 161-177.
    • (1967) Ann. Mat. Pura Appl. , vol.76 , pp. 161-177
    • Miller, K.1
  • 24
    • 84972569644 scopus 로고
    • Singular variations of domains and eigenvalues of the laplacian
    • S. Ozawa, "Singular Variations of Domains and Eigenvalues of the Laplacian," Duke Math. J., 48 (1981) 769-778.
    • (1981) Duke Math. J. , vol.48 , pp. 769-778
    • Ozawa, S.1
  • 25
    • 0000165674 scopus 로고
    • Spectra of domains with small spherical neumann boundary
    • S. Ozawa, "Spectra of Domains with Small Spherical Neumann Boundary", J. Fac. Sci. Univ. Tokyo 30 (1983), 259-277.
    • (1983) J. Fac. Sci. Univ. Tokyo , vol.30 , pp. 259-277
    • Ozawa, S.1
  • 26
    • 49549147199 scopus 로고
    • Potential and scattering theory on wildly perturbed domains
    • J. Rauch and M. Taylor, "Potential and Scattering Theory on Wildly Perturbed Domains," J. Funct. Anal., 18 (1975) 27-59.
    • (1975) J. Funct. Anal. , vol.18 , pp. 27-59
    • Rauch, J.1    Taylor, M.2
  • 27
    • 84972438284 scopus 로고
    • A functional-analytic framework for the study of elliptic equations on variable domains
    • J.M. Vegas, "A Functional-Analytic Framework for the Study of Elliptic Equations on Variable Domains" Proc. Roy. Soc. Edinburgh. Sect. A 116, no. 3-4, (1990) 367-380.
    • (1990) Proc. Roy. Soc. Edinburgh. Sect. A , vol.116 , Issue.3-4 , pp. 367-380
    • Vegas, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.