on a singular sublinear polyharmonic problem
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ID: 155549
2006
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Abstract
This paper deals with a class of singular nonlinear polyharmonic
equations on the unit ball B in ℝn (n≥2) where the combined effects of a singular and a sublinear term
allow us by using the Schauder fixed point theorem to establish an
existence result for the following problem: (−Δ)mu=φ(⋅,u)+ψ(⋅,u) in B (in the sense of distributions), u>0, lim|x|→1u(x)/(1−|x|)m−1=0. Our approach is based on estimates
for the polyharmonic Green function on B with zero Dirichlet boundary conditions.
| Reference Key |
othman2006abstracton
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|---|---|
| Authors | ;Sonia Ben Othman |
| Journal | science and technology of advanced materials |
| Year | 2006 |
| DOI |
10.1155/AAA/2006/27969
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| URL | |
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