ISSN:
1432-0606
Keywords:
Key words. Uniqueness of solution, Nonlinear elliptic equations, Nonlocal equations, Relative rearrangement, Plasma physics. AMS Classification. 35J60, 76W05.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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^{\infty} $ -estimate on the solution of an auxiliary nonlocal problem formulated in terms of the relative rearrangement of a datum with respect to the solution.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002459900098
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