On a singular sublinear polyharmonic problem
Keyword(s):
This paper deals with a class of singular nonlinear polyharmonic equations on the unit ballBinℝn (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)inB(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 onBwith zero Dirichlet boundary conditions.
2011 ◽
Vol 55
(1)
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pp. 155-166
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1992 ◽
Vol 122
(1-2)
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pp. 1-10
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2017 ◽
Vol 25
(3)
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pp. 143-153