Browsing Mathematics, Statistics, and Physics by Author "Acker, Andrew"
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Convex configurations for solutions to semilinear elliptic problems in convex rings
Acker, Andrew; Poghosyan, Mikayel; Shahgholian, Henrik (Taylor & Francis Group, LLC, 200605)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). 
The multilayer free boundary problem for the pLaplacian in convex domains
Acker, Andrew; Henrot, Antoine; Poghosyan, Mikayel; Shahgholian, Henrik (European Mathematical Society, 20040821)The main result of this paper concerns existence of classical solutions to the multilayer Bernoulli free boundary problem with nonlinear joining conditions and the pLaplacian as gov erning operator. The present treatment ... 
On the existence of convex classical solutions to a generalized PrandtlBatchelor free boundary problem
Acker, Andrew (Birkhäuser Verlag, Basel, 2004)Under reasonably general assumptions, we prove the existence of convex classical solutions for the PrandtlBatchelor free boundary problem in fluid dynamics, in which a flow of constant vorticity density is embedded in ... 
On the nonstarlikeness of solutions to the starlike interior wake problem
Acker, Andrew (American Mathematical Society, 20050718)We study examples of the starlike interior “wake problem” for which no starlike solution exists relative to the natural star center of the problem. These examples show that the main result of D.E. Tepper in “A mathematical ...