Abstract
In this paper, we derive new closed-form radial solutions for the following elliptic Liouville equation △ϕ+φ(x)eϕ=0inΩ⊂Rn, and its generalized equation △ϕ+φ(x)eϕ=f(x)inΩ⊂Rn, where △ is the Laplace operator, φ and f are smooth positive functions.
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