On an asymptotically linear singular boundary value problems
Słowa kluczowe
Singular, elliptic BVP, asymptotically linearAbstrakt
We prove the existence of positive solutions for the singular boundary value problems $$ \cases \displaystyle -\Delta u=\frac{p(x)}{u^{\beta }}+\lambda f(u) & \text{in }\Omega , \\ u=0 &\text{on }\partial \Omega , \endcases $$ where $\Omega $ is a bounded domain in $\mathbb{R}^n$ with smooth boundary $\partial \Omega , 0< \beta < 1$, $\lambda > 0$ is a small parameter, $f\colon (0,\infty )\rightarrow \mathbb{R}$ is asymptotically linear at $\infty$ and is possibly singular at $0$.Pobrania
Opublikowane
2012-04-23
Jak cytować
1.
HAI, Dinh Dang. On an asymptotically linear singular boundary value problems. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2012, T. 39, nr 1, s. 83–92. [udostępniono 3.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0