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Volumn 148, Issue 1, 1998, Pages 47-64

First Variations of Principal Eigenvalues with Respect to the Domain and Point-Wise Growth of Positive Solutions for Problems Where Bifurcation from Infinity Occurs

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EID: 0002507352     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3456     Document Type: Article
Times cited : (47)

References (16)
  • 1
    • 0040240265 scopus 로고    scopus 로고
    • Elliptic equations, principal eigenvalue and dependence on the domain
    • Arrieta J. M. Elliptic equations, principal eigenvalue and dependence on the domain. Comm. Partial Differential Equations. 21:1996;971-991.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 971-991
    • Arrieta, J.M.1
  • 2
    • 0001238188 scopus 로고
    • Continuous dependence of eigenvalues on the domain
    • Babuska I., Vyborny R. Continuous dependence of eigenvalues on the domain. Czech. Math. J. 15:1965;169-178.
    • (1965) Czech. Math. J. , vol.15 , pp. 169-178
    • Babuska, I.1    Vyborny, R.2
  • 3
    • 46149141759 scopus 로고
    • Remarks on sublinear elliptic equations
    • Brezis H., Oswald L. Remarks on sublinear elliptic equations. Nonlinear Anal. 10:1986;55-64.
    • (1986) Nonlinear Anal. , vol.10 , pp. 55-64
    • Brezis, H.1    Oswald, L.2
  • 6
    • 0030143853 scopus 로고    scopus 로고
    • Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear equation
    • Fraile J. M., Koch-Medina P., López-Gómez J., Merino S. Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear equation. J. Differential Equations. 127:1996;295-319.
    • (1996) J. Differential Equations , vol.127 , pp. 295-319
    • Fraile, J.M.1    Koch-Medina, P.2    López-Gómez, J.3    Merino, S.4
  • 7
    • 51249195219 scopus 로고
    • Convexity of domain functionals
    • Garabedian P. R., Schiffer M. Convexity of domain functionals. J. Anal. Math. 2:1952-1953;281-368.
    • (1952) J. Anal. Math. , vol.2 , pp. 281-368
    • Garabedian, P.R.1    Schiffer, M.2
  • 8
    • 24544480010 scopus 로고    scopus 로고
    • On the uniqueness and point-wise behaviour of positive solutions for a general class of sublinear elliptic problems where bifurcation from infinity occurs
    • J. García-Melián, R. Gómez-Reñasco, J. López-Gómez, J. Sabina de Lis, On the uniqueness and point-wise behaviour of positive solutions for a general class of sublinear elliptic problems where bifurcation from infinity occurs, Arch. Rat. Mech. Anal.
    • Arch. Rat. Mech. Anal.
    • García-Melián, J.1    Gómez-Reñasco, R.2    López-Gómez, J.3    Sabina De Lis, J.4
  • 9
    • 0001859645 scopus 로고
    • Mémoires sur le problème d'analyse relatif à l'equilibre des plaques élastiques encastrées
    • Hadamard J. Mémoires sur le problème d'analyse relatif à l'equilibre des plaques élastiques encastrées. Mem. Acad. Sci. Paris. 39:1908;128-259.
    • (1908) Mem. Acad. Sci. Paris , vol.39 , pp. 128-259
    • Hadamard, J.1
  • 10
    • 0008112282 scopus 로고
    • Perturbation Theory for Linear Operators
    • Berlin/New York: Springer-Verlag
    • Kato T. Perturbation Theory for Linear Operators. Classics Math. 1995;Springer-Verlag, Berlin/New York.
    • (1995) Classics Math.
    • Kato, T.1
  • 11
    • 0030140612 scopus 로고    scopus 로고
    • The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
    • López-Gómez J. The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems. J. Differential Equations. 127:1996;263-294.
    • (1996) J. Differential Equations , vol.127 , pp. 263-294
    • López-Gómez, J.1
  • 12
    • 4244186207 scopus 로고    scopus 로고
    • On the uniqueness of positive solutions for a class of sublinear elliptic problems
    • López-Gómez J. On the uniqueness of positive solutions for a class of sublinear elliptic problems. Boll. Un. Mat. Ital. B. 11:1997;697-711.
    • (1997) Boll. Un. Mat. Ital. B , vol.11 , pp. 697-711
    • López-Gómez, J.1
  • 13
    • 0005556128 scopus 로고
    • Perturbazione dello spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo
    • Micheletti A. M. Perturbazione dello spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo. Ann. Mat. Pura Appl. 47:1973;267-282.
    • (1973) Ann. Mat. Pura Appl. , vol.47 , pp. 267-282
    • Micheletti, A.M.1
  • 14
    • 84966242258 scopus 로고
    • p=0 on the compact manifolds
    • p=0 on the compact manifolds. Trans. Amer. Math. Soc. 331:1992;503-527.
    • (1992) Trans. Amer. Math. Soc. , vol.331 , pp. 503-527
    • Ouyang, T.1
  • 15
    • 0009087992 scopus 로고
    • On Hadamard's variational formula
    • Peetre J. On Hadamard's variational formula. J. Differential Equations. 36:1980;335-346.
    • (1980) J. Differential Equations , vol.36 , pp. 335-346
    • Peetre, J.1
  • 16
    • 0001351887 scopus 로고
    • Differentiation with respect to the domain in boundary value problems
    • Simon J. Differentiation with respect to the domain in boundary value problems. Numer. Funct. Anal. Optim. 2:1980;649-687.
    • (1980) Numer. Funct. Anal. Optim. , vol.2 , pp. 649-687
    • Simon, J.1


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