Radial solutions for inhomogeneous biharmonic elliptic systems
| Autor: | Reginaldo Demarque, Narciso da Hora Lisboa |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2018, Iss 67,, Pp 1-14 (2018) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 |
| Popis: | In this article we obtain weak radial solutions for the inhomogeneous elliptic system \displaylines{ \Delta^2u+V_{1}(| x| )| u|^{q-2}u=Q(| x| )F_{u}(u,v)\quad\text{in } \mathbb{R}^N, \cr \Delta^2v+V_2(| x| )| v|^{q-2}v=Q(| x| )F_{v}(u,v)\quad\text{in } \mathbb{R}^N, \cr u,v\in D_0^{2,2}(\mathbb{R}^N),\quad N\geq 5, }$$ where $\Delta^2$ is the biharmonic operator, $V_i$, $ Q\in C^{0 }((0,+\infty ),[0,+\infty ))$, i=1,2, are radially symmetric potentials, $1 |
| Databáze: | Directory of Open Access Journals |
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