Title of article
Isolated singularities for weighted quasilinear elliptic equations
Author/Authors
Florica C. Cîrstea، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
29
From page
174
To page
202
Abstract
We classify all the possible asymptotic behavior at the origin for positive solutions of quasilinear elliptic
equations of the form div(|∇u|p−2∇u) = b(x)h(u) in Ω \ {0}, where 1
0) and the weight function b(x) behaves near the origin as a function b0(|x|) varying regularly at zero with index θ greater than −p. This condition includes b(x) = |x|θ and some of its perturbations, for instance, b(x) = |x|θ (−log |x|)m for any m ∈ R. Our approach makes use of the theory of regular variation and a new perturbation method for constructing sub- and super-solutions. © 2010 Elsevier Inc. All rights reserved
Keywords
quasilinear elliptic equations , Isolated singularities , Regular variation theory
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840222
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