On a singular sublinear polyharmonic problem
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)...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/27969 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |