메뉴 건너뛰기




Volumn 150, Issue 1, 1998, Pages 215-225

S-Shaped Bifurcation Branch in a Quasilinear Multivalued Model Arising in Climatology

Author keywords

Climatolog; Degenerated multivalued equations; Riemannian manifolds; S shaped bifurcation branch

Indexed keywords


EID: 0000727646     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3502     Document Type: Article
Times cited : (69)

References (23)
  • 1
    • 0003288355 scopus 로고
    • Critical points and nonlinear variational problems
    • Ambrosetti A. Critical points and nonlinear variational problems. Bull. Soc. Math. France. 49:1992.
    • (1992) Bull. Soc. Math. France , vol.49
    • Ambrosetti, A.1
  • 7
    • 0001006562 scopus 로고
    • The effects of solar radiation variations on the climate of the Earth
    • Budyko M. I. The effects of solar radiation variations on the climate of the Earth. Tellus. 21:1969;611-619.
    • (1969) Tellus , vol.21 , pp. 611-619
    • Budyko, M.I.1
  • 8
    • 0011008799 scopus 로고
    • Mathematical analysis of some diffusive energy balance climate models
    • Paris: Masson. p. 28-56
    • Díaz J. I. Mathematical analysis of some diffusive energy balance climate models. Mathematics, Climate and Environment. 1993;Masson, Paris. p. 28-56.
    • (1993) Mathematics, Climate and Environment
    • Díaz, J.I.1
  • 9
    • 0031341533 scopus 로고    scopus 로고
    • On the multiplicity of equilibrium solutions to a nonlinear diffusion equation on a manifold arising in Climatology
    • Díaz J. I., Hernández J., Tello L. On the multiplicity of equilibrium solutions to a nonlinear diffusion equation on a manifold arising in Climatology. J. Math. Anal. Appl. 216:1997;593-613.
    • (1997) J. Math. Anal. Appl. , vol.216 , pp. 593-613
    • Díaz, J.I.1    Hernández, J.2    Tello, L.3
  • 11
    • 0001843951 scopus 로고    scopus 로고
    • A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology
    • Díaz J. I., Tello L. A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology. Collect. Math. 1998.
    • (1998) Collect. Math.
    • Díaz, J.I.1    Tello, L.2
  • 12
    • 0031077189 scopus 로고    scopus 로고
    • Sub- And super-solutions in bifurcation problems
    • Gámez J. L. Sub- and super-solutions in bifurcation problems. Nonlin. Anal. 28:1997;625-632.
    • (1997) Nonlin. Anal. , vol.28 , pp. 625-632
    • Gámez, J.L.1
  • 13
    • 0016881047 scopus 로고
    • Climate stability for a Sellers-type model
    • Ghil M. Climate stability for a Sellers-type model. J. Atmos. Sci. 33:1976;3-20.
    • (1976) J. Atmos. Sci. , vol.33 , pp. 3-20
    • Ghil, M.1
  • 14
    • 0003236689 scopus 로고
    • Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory and Climate Dynamics
    • Berlin/New York: Springer-Verlag
    • Ghil M., Childress S. Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory and Climate Dynamics. Applied Mathematical Sciences. 60:1987;Springer-Verlag, Berlin/New York.
    • (1987) Applied Mathematical Sciences , vol.60
    • Ghil, M.1    Childress, S.2
  • 15
    • 0011045191 scopus 로고
    • The structure of the principal component for semilinear diffusion equations from energy balance climate models
    • Hetzer G. The structure of the principal component for semilinear diffusion equations from energy balance climate models. Houston J. Math. 16:1990;203-216.
    • (1990) Houston J. Math. , vol.16 , pp. 203-216
    • Hetzer, G.1
  • 16
    • 0003365694 scopus 로고    scopus 로고
    • S-shapedness for energy balance climate models of Sellers type
    • J.I. Díaz. Heidelberg: Springer-Verlag
    • Hetzer G. S-shapedness for energy balance climate models of Sellers type. Díaz J. I. The Mathematics of Models for Climatology and Environment. 1996;253-288 Springer-Verlag, Heidelberg.
    • (1996) The Mathematics of Models for Climatology and Environment , pp. 253-288
    • Hetzer, G.1
  • 17
    • 0041171926 scopus 로고
    • Elliptic eigenvalue problem with discontinuous nonlinearities
    • Massabo I., Stuart C. A. Elliptic eigenvalue problem with discontinuous nonlinearities. J. Math. Anal. Appl. 66:1978;261-281.
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 261-281
    • Massabo, I.1    Stuart, C.A.2
  • 18
    • 0025656151 scopus 로고
    • Multiple solutions in energy balance climate models
    • Amsterdam: Elsevier. p. 225-235
    • North G. R. Multiple solutions in energy balance climate models. Paleogeography, Paleoclimatology, Paleoecology. 1990;Elsevier, Amsterdam. p. 225-235.
    • (1990) Paleogeography, Paleoclimatology, Paleoecology
    • North, G.R.1
  • 19
    • 0010799247 scopus 로고
    • A global theorem for nonlinear eigenvalue problems and applications
    • E.H. Zarantonello. New York: Academic Press
    • Rabinowitz P. H. A global theorem for nonlinear eigenvalue problems and applications. Zarantonello E. H. Contributions to Nonlinear Functional Analysis. 1971;11-36 Academic Press, New York.
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 11-36
    • Rabinowitz, P.H.1
  • 20
    • 0014520439 scopus 로고
    • A global climatic model based on the energy balance of the earth-atmosphere system
    • Sellers W. D. A global climatic model based on the energy balance of the earth-atmosphere system. J. Appl. Meteorol. 8:1969;392-400.
    • (1969) J. Appl. Meteorol. , vol.8 , pp. 392-400
    • Sellers, W.D.1
  • 22
    • 0001364467 scopus 로고
    • A simplified radiative-dynamical model for the static stability of rotating atmospheres
    • Stone P. H. A simplified radiative-dynamical model for the static stability of rotating atmospheres. J. Atmos. Sci. 29:1972;405-418.
    • (1972) J. Atmos. Sci. , vol.29 , pp. 405-418
    • Stone, P.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.