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On uniformly rotating stars

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References

  1. G. Auchmuty, The global branching of rotating stars, Arch. Rational Mech. Anal. 114 (1991), 179–194.

    Google Scholar 

  2. J. F. G. Auchmuty & R. Beals, Variational solutions of some nonlinear free boundary problems, Arch. Rational Mech. Anal. 43 (1971), 255–271.

    Google Scholar 

  3. J. F. G. Auchmuty & R. Beals, Models of rotating stars, Astrophysical J. 165 (1971), 79–82.

    Google Scholar 

  4. J. F. G. Auchmuty, Existence of equilibrium figures, Arch. Rational Mech. Anal. 65 (1977), 249–261.

    Google Scholar 

  5. L. A. Caffarelli & A. Friedman, The shape of axisymmetric rotating fluid, J. Funct. Anal. 35 (1980), 100–142.

    Google Scholar 

  6. L. Caffarelli & A. Friedman, The free boundary in the Thomas-Fermi atomic model, J. Diff. Eqns. 32 (1979), 335–356.

    Google Scholar 

  7. S. Chandrasekhar, Introduction to the Study of Stellar Structure, Univ. of Chicago Press, 1939.

  8. S. Chandrasekhar, Ellipsoidal Figures of Equilibrium, Yale Univ. Press, 1969.

  9. A. Friedman, Variational Principles and Free-Boundary Problems, Wiley, 1982.

  10. A. Friedman & B. Turkington, Asymptotic estimates for an axisymmetric rotating fluid, J. Funct. Anal. 37 (1980), 136–163.

    Google Scholar 

  11. A. Friedman & B. Turkington, Existence and dimensions of a rotating white dwarf, J. Diff. Eqns. 42 (1981), 414–437.

    Google Scholar 

  12. A. Friedman & B. Turkington, The oblateness of an axisymmetric rotating fluid, Indiana Univ. Math. J. 29 (1980), 777–792.

    Google Scholar 

  13. Z. Kopal, Figures of Equilibrium of Celestial Bodies, Univ. of Wisoncsin Press, 1960.

  14. H. Lamb, Hydrodynamics, 6th edn., Cambridge Univ. Press. 1932.

  15. E. Lieb & H. Z. Yau, The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics, Comm. Math. Phys. 112 (1987), 147–174.

    Google Scholar 

  16. H. Poincaré, Figures d'Équilibre d'une Mass Fluide, Gauthier-Villars, 1901.

  17. S. L. Sobolev, On a theorem of functional analysis, Mat. Sb. (N.S.) 4 (1938), 471–497. (Amer. Math. Soc. Translations, Ser. 2, Vol. 34 (1963), 39–68).

    Google Scholar 

  18. R. Wavre, Figures Planétaires et Geodésie, Gauthier-Villars, 1932.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, New Jersey

    YanYan Li

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  1. YanYan Li
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Communicated by H. Brezis

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Li, Y. On uniformly rotating stars. Arch. Rational Mech. Anal. 115, 367–393 (1991). https://doi.org/10.1007/BF00375280

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  • DOI: https://doi.org/10.1007/BF00375280

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