| Autor: |
Dusan D. Repovs |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2018, Iss 41,, Pp 1-10 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
We study the degenerate elliptic equation $$ -\hbox{div}(|x|^\alpha\nabla u) =f(u)+t\phi(x)+h(x) $$ in a bounded open set $\Omega$ with homogeneous Neumann boundary condition, where $\alpha\in(0,2)$ and f has a linear growth. The main result establishes the existence of real numbers $t_*$ and $t^*$ such that the problem has at least two solutions if $t\leq t_*$, there is at least one solution if $t_*t^*$. The proof combines a priori estimates with topological degree arguments. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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