Abstract.
The equations governing static stellar models in Newtonian gravity are equivalent to a Lane-Emden type equation. For such equations existence,uniqueness,and regularity of global solutions is shown for a large class of right-hand sides, including a subclass of non-Lipschitz continuous equations of state which is relevant if e.g. phase transitions occur. Furthermore, it is shown that for a star of finite radius the polytropic index of the equation of state is not necessarily bounded near the star's surface.
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Submitted 30/11/99, accepted 27/01/2000
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Schaudt, U. On Static Stars in Newtonian Gravity and Lane-Emden Type Equations. Ann. Henri Poincaré 1, 945–976 (2000). https://doi.org/10.1007/PL00001020
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DOI: https://doi.org/10.1007/PL00001020