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Existence of multiple positive solutions for a -Laplacian system with sign-changing weight functions

โœ Scribed by Guoying Yang; Mingxin Wang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
322 KB
Volume
55
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


A p-Laplacian system with Dirichlet boundary conditions is investigated. By analysis of the relationship between the Nehari manifold and fibering maps, we will show how the Nehari manifold changes as ฮป, ยต varies and try to establish the existence of multiple positive solutions.


๐Ÿ“œ SIMILAR VOLUMES


Multiple existence of sign changing solu
โœ Norimichi Hirano ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 503 KB

Let N โ‰ฅ 3, 2 < p < 2 \* = 2N /(N -2), ฮต > 0 and โ„ฆ be a bounded domain with a smooth boundary โˆ‚โ„ฆ . Our purpose in this paper is to consider the multiple existence of sign changing solutions of the problem