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Three solutions for a class of quasilinear elliptic systems involving the -Laplacian

โœ Scribed by Chun Li; Chun-Lei Tang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
254 KB
Volume
69
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the ( p, q)-Laplacian with Dirichlet boundary condition. Our technical approach is based on the three-critical-points theorem obtained by B. Ricceri.


๐Ÿ“œ SIMILAR VOLUMES


Nonexistence of positive entire solution
โœ Caisheng Chen; Lanfang Shi; Shenglan Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

In this work we consider the nonexistence of a positive entire solution for the quasilinear elliptic system where p, q > 1 and ฮฑ > q -1, ฮฒ > p -1. We study the effect of the asymptotic behavior of f (x), g(x) and solutions at infinity on the nonexistence of a positive solution for Problem (0.1). So