| Autor: |
Habib Maagli, Faten Toumi, Malek Zribi |
| Jazyk: |
angličtina |
| Rok vydání: |
2003 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2003, Iss 58, Pp 1-19 (2003) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
We present existence results for the polyharmonic nonlinear elliptic boundary-value problem $$displaylines{ (-Delta )^m u=f(cdot,u) quad hbox{in }B cr (frac{partial }{partial u })^j u=0quad hbox{on }partial B, quad 0leq jleq m-1. }$$ (in the sense of distributions), where $B$ is the unit ball in $mathbb{R}^n$ and $ngeq 2$. The nonlinearity $f(x,t)$ satisfies appropriate conditions related to a Kato class of functions $K_{m,n}$. Our approach is based on estimates for the polyharmonic Green function with zero Dirichlet boundary conditions and on the Schauder fixed point theorem. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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