Semilinear equations associated with Dunkl Laplacian
| Autor: | Chrouda, Mohamed Ben, Mabrouk, Khalifa El, Hassine, Kods |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $\Delta_k$ be the Dunkl Laplacian on $\mathbb R^d$ associated with a reflection group $W$ and a multiplicity function $k$. The purpose of this paper is to establish necessary and sufficient condition under which there exists a positive solution of the equation $\Delta_ku=\varphi(u)$ in the unit ball of $\mathbb R^d$ as well as in the whole space $\mathbb R^d$. Comment: 23 pages |
| Databáze: | arXiv |
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