Minimization Problems in L1(R3).
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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In this paper, minimization problems in L1IR3 are considered. These problems arise in astrophysics for the determination of equilibrium configurations of axially symmetric rotating fluids rotating stars. Under nearly optimal assumptions a minimizer is proved to exist by a direct variational method, which uses heavily the symmetry of the problem in order to get some compactness. Finally, by looking directly at the Euler equation, we give some existence results of solutions of the Euler equation even if the infimum is not finite. Author
- Theoretical Mathematics