The Liouville equation in a half-plane |
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Authors: | José A. Gá lvez,Pablo Mira |
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Affiliation: | a Departamento de Geometría y Topología, Universidad de Granada, E-18071 Granada, Spain b Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, E-30203 Cartagena, Murcia, Spain |
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Abstract: | We classify the solutions of the equation Δu+aeu=0 in the half-plane that satisfy the Neumann boundary condition ∂u/∂t=ceu/2 on . An analogous problem in the once punctured disc D∗⊂R2 is also solved. |
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Keywords: | 35J15 35J25 |
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