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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| 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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| _version_ | 1850104615885864960 |
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| author | Sonia Ben Othman |
| author_facet | Sonia Ben Othman |
| author_sort | Sonia Ben Othman |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-42c1fd2b1cfa46178d97856f32cd6df9 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-42c1fd2b1cfa46178d97856f32cd6df92025-08-20T02:39:18ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/2796927969On a singular sublinear polyharmonic problemSonia Ben Othman0Département de Mathematiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 1060, TunisiaThis 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.http://dx.doi.org/10.1155/AAA/2006/27969 |
| spellingShingle | Sonia Ben Othman On a singular sublinear polyharmonic problem Abstract and Applied Analysis |
| title | On a singular sublinear polyharmonic problem |
| title_full | On a singular sublinear polyharmonic problem |
| title_fullStr | On a singular sublinear polyharmonic problem |
| title_full_unstemmed | On a singular sublinear polyharmonic problem |
| title_short | On a singular sublinear polyharmonic problem |
| title_sort | on a singular sublinear polyharmonic problem |
| url | http://dx.doi.org/10.1155/AAA/2006/27969 |
| work_keys_str_mv | AT soniabenothman onasingularsublinearpolyharmonicproblem |