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A singularly perturbed free boundary problem arising from a real problem associated with a Radiographic Integrated Test Stand concerns a solution of the equation $$\Delta u = f(u)$$ Δu=f(u) in a domain $$\Omega $$ Ω subject to constant boundary data, where the function f in general is not monotone. When the domain $$\Omega $$ Ω is a perfect ring, we incorporate a new idea of radial correction into...
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