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A non-linear eigenvalue problem: The shape at equilibrium of a confined plasma

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Abstract

A free boundary value problem arising in plasma physics is reduced to a non-linear eigenvalue problem of a non-classical type. We establish the existence of solutions of the non-linear eigenvalue problem; these solutions are critical points of appropriate functionals.

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  1. Département de Mathématiques, Université Paris-Sud, 91405, Orsay

    R. Temam

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  1. R. Temam
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Communicated by S. Antman

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Temam, R. A non-linear eigenvalue problem: The shape at equilibrium of a confined plasma. Arch. Rational Mech. Anal. 60, 51–73 (1975). https://doi.org/10.1007/BF00281469

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  • DOI: https://doi.org/10.1007/BF00281469

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