Title of article
Entire bounded solutions for a class of sublinear elliptic equations Original Research Article
Author/Authors
Khalifa El Mabrouk، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
14
From page
205
To page
218
Abstract
Let Ω be an arbitrary domain of View the MathML source and let ξ be a nonnegative locally bounded Borel function on Ω. In this paper, necessary and sufficient conditions are obtained for the existence of a nonnegative nontrivial bounded solution to the sublinear elliptic equation Δu=ξ(x)uγ in Ω where 0<γ⩽1. The special case of a radial function ξ is discussed in detail.
Keywords
Sublinear Dirichlet problem , Thickness and thinness at ? , Greenian domain , Green function
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2004
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858643
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