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The shape and smoothness of stable plasma configurations. (English) Zbl 0409.76095


MSC:

76X05 Ionized gas flow in electromagnetic fields; plasmic flow
49S05 Variational principles of physics
35B99 Qualitative properties of solutions to partial differential equations
35C15 Integral representations of solutions to PDEs

Citations:

Zbl 0328.35069
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References:

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[9] J. Puel , Un problème de valeurs propres nonlineaire et de frontière libre , C.R.A.S. Paris , 284 ( 1977 ), pp. 861 - 864 . Zbl 0362.35024 · Zbl 0362.35024
[10] G. Stampacchia , Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinues , Ann. Inst. Fourier , Grenoble , 15 ( 1965 ), pp. 189 - 258 . Numdam | MR 192177 | Zbl 0151.15401 · Zbl 0151.15401 · doi:10.5802/aif.204
[11] R. Temam , A nonlinear eigenvalue problem: the shape at equilibrium of a confined plasma , Arch. Rat. Mech. Anal. , 60 ( 1975 ), pp. 51 - 73 . MR 412637 | Zbl 0328.35069 · Zbl 0328.35069 · doi:10.1007/BF00281469
[12] R. Temam , Remarks on a free boundary value problem arising in plasma physics , Communications in P.D.E. , 2 ( 1977 ), pp. 563 - 585 . MR 602544 | Zbl 0355.35023 · Zbl 0355.35023 · doi:10.1080/03605307708820039
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