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Existence of three solutions for a class of quasilinear elliptic systems involving the (p(x), q(x))-Laplacian

โœ Scribed by Jingjing Liu; Xiayang Shi


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
476 KB
Volume
71
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Three solutions for a class of quasiline
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, some new existence theorems of weak solutions for a class of semilinear elliptic systems are obtained by means of the local linking theorem and the saddle point theorem.