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Positive evanescent solutions of nonlinear elliptic equations
Authors:Smail Djebali
Affiliation:a Department of Mathematics, ENS, PO Box 92, 16050 Kouba, Algiers, Algeria
b Department of Mathematics, DAL, University of Craiova, Romania
Abstract:
In this note we investigate the existence of positive solutions vanishing at +∞ to the elliptic equation Δu+f(x,u)+g(|x|)x⋅∇u=0, |x|>A>0, in Rn (n?3) under mild restrictions on the functions f, g.
Keywords:Positive solution   Nonlinear elliptic equation   Exterior domain
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