Positive solutions for resonant boundary value problems with the scalar p-Laplacian and nonsmooth potential
Positive solutions for resonant boundary value problems with the scalar p-Laplacian and nonsmooth potential
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DOI：
10.3934/dcds.2007.17.143
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发表时间：
2006-10
影响因子：
1.1
通讯作者：
L. Gasiński
中科院分区：
文献类型：
--
作者：
L. Gasiński
本文研究一维$p$-拉普拉斯边值问题。在完全共振和部分共振的情况下，证明了至少存在一个正解。通过加强我们的假设，我们可以保证所获得的解的严格正性。
In this paper we study boundary value problem with one dimensional $p$-Laplacian. Assuming complete resonance at $+\infty$ and partial resonance at $0^+$, an existence of at least one positive solution is proved. By strengthening our assumptions we can guarantee strict positivity of the obtained solution.