Auchmuty, J. F. G. Existence of axisymmetric equilibrium figures. (English) Zbl 0366.76083 Arch. Ration. Mech. Anal. 65, 249-261 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 19 Documents MSC: 76U05 General theory of rotating fluids 49J99 Existence theories in calculus of variations and optimal control PDF BibTeX XML Cite \textit{J. F. G. Auchmuty}, Arch. Ration. Mech. Anal. 65, 249--261 (1977; Zbl 0366.76083) Full Text: DOI References: [1] Auchmuty, J.F.G., ”Axisymmetric Models of Self-Gravitating Liquids”, Report No. 73, Fluid Mechanics Research Institute, University of Essex, 1976. · Zbl 0506.76108 [2] Auchmuty, J.F.G. and R. Beals, ”Variational Solutions of some Nonlinear Free Boundary Problems”, Arch. Rat. Mech. Anal. 43, 255–271 (1971). · Zbl 0225.49013 [3] Chandrasekhar, S., Ellipsoidal Figures of Equilibrium, Yale University Press, New Haven 1969. · Zbl 0213.52304 [4] Kopal, Z., Figures of Equilibrium of Celestial Bodies, University of Wisconsin Press, Madison 1960. · Zbl 0093.23804 [5] Lichtenstein, L., Gleichgewichtsfiguren der rotierenden Flüssigkeiten, Julius Springer, Berlin, 1933. · JFM 59.1441.12 [6] Poincaré, H., Figures d’équilibre d’une Masse Fluide. Gauthier-Villars Paris, 1901. [7] Riesz, F., ”Sur une Inégalité Intégrale”, J. London Math. Soc. 5, 162–168 (1930). · JFM 56.0232.02 [8] Wavre, R., Figures Planétaires et Geodésie, Gauthier-Villars, Paris, 1932. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.