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Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains

In this article, we study the existence, uniqueness and the asymptotic behavior of a positive classical solution to the semilinear boundary value problem $$\displaylines{ -\Delta u=a(x)u^{\sigma }\quad \text{in }D, \cr u|_{\partial D}=0,\quad \lim_{|x|\to \infty}u(x) =0. }$$ Here D is an...

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Bibliographic Details
Main Authors: Habib Maagli, Abdulah Khamis Alzahrani, Zagharide Zine El Abidine
Format: Artigo
Language:Inglês
Published: Texas State University 2018-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/137/abstr.html
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