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On the uniqueness of solutions of a nonlinear elliptic problem arising in the confinement of a plasma in a stellarator device

Díaz Díaz, Jesús Ildefonso and Galiano, Gonzalo and Padial Molina, Juan Francisco (1999) On the uniqueness of solutions of a nonlinear elliptic problem arising in the confinement of a plasma in a stellarator device. Applied mathematics and optimization, 39 (1). pp. 61-73. ISSN 0095-4616

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Abstract

We study the uniqueness of solutions of a semilinear elliptic problem obtained from an inverse formulation when the nonlinear terms of the equation are prescribed in a general class of real functions, The inverse problem arises in the modeling of the magnetic confinement of a plasma in a Stellarator device. The uniqueness proof relies on an L-infinity-estimate on the solution of an auxiliary nonlocal problem formulated in terms of the relative rearrangement of a datum with respect to the solution.


Item Type:Article
Uncontrolled Keywords:free-boundary problem; rearrangement; equilibrium; uniqueness of solution; nonlinear elliptic equations; nonlinear equations; relative rearrangement; plasma physics
Subjects:Sciences > Mathematics > Numerical analysis
ID Code:15676
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