Convex configurations for solutions to semilinear elliptic problems in convex rings
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Issue Date
2006-05
Embargo End Date
Authors
Acker, Andrew
Poghosyan, Mikayel
Shahgholian, Henrik
Advisor
Citation
Acker, A., M. Poghosyan, et al. (2006). "Convex Configurations for Solutions to Semilinear Elliptic Problems in Convex Rings." Communications in Partial Differential Equations 31(9): 1273-1287.
Abstract
For a given convex ring and an L 1 function f:Ω × → + we show, under suitable assumptions on f, that there exists a solution (in the weak sense) to
with {x Ω: u(x) > s} Ω1 convex, for all s (0, M).
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