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Radial solutions of the elliptic Liouville equation
Journal article   Open access  Peer reviewed

Radial solutions of the elliptic Liouville equation

Lazhar Bougoffa and Ammar Khanfer
Results in physics, Vol.25, p.104276
06/2021
DOI: https://doi.org/10.1016/j.rinp.2021.104276

Abstract

Gaussian spline radial Generalized Liouville equation Liouville equation Radial solution
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. •Radial solutions of the elliptic Liouville equation.•New closed-form radial solutions for the generalized Liouville equation.
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https://doi.org/10.1016/j.rinp.2021.104276View
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