| Autor: |
Zakaria Boucheche, Hichem Chtioui, Hichem Hajaiej |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Differential Equations, Vol 2018, Iss 60,, Pp 1-32 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
We are concerned with the nonlinear critical problem $-\Delta u=K(x)u^{3}$, $u>0$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded domain of $\mathbb{R}^4$. Under the assumption that $K$ is strictly decreasing in the outward normal direction on $\partial\Omega$ and degenerate at its critical points for an order $\beta \in (1,4)$, we provide a complete description of the lack of compactness of the associated variational problem and we prove an existence result of Bahri-Coron type. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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