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Remarks on the existence of three solutions for the -Laplacian equations

✍ Scribed by Chao Ji

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
226 KB
Volume
74
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Existence of positive solutions for -Lap
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✍ Wulong Liu; Peihao Zhao πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 341 KB

In this paper, we study the existence of positive solutions for p(x)-Laplacian equations in unbounded domains. The existence is affected by the properties of the geometry and the topology of the domain.

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✍ Lin Zhao; Yuan He; Peihao Zhao πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 245 KB

We establish the existence of three positive solutions of the p-Laplacian problem, which involves a singular nonlinearity. Three solutions are obtained by using the cutoff argument and the three critical points theorem proved by Ricceri (2000) in [15] and Bonanno (2003) in [12], provided the nonline