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Multiplicity theorems for a class of Dirichlet quasilinear elliptic systems involving the -Laplacian

โœ Scribed by G.A. Afrouzi; S. Heidarkhani

Book ID
108216617
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
291 KB
Volume
73
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

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โœ Chun Li; Chun-Lei Tang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 254 KB

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.

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In this paper, we establish some results on the existence of at least three weak solutions for Dirichlet problems involving the p-Laplacian by a variational approach.