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MULTIPLE SIGN CHANGING SOLUTIONS OF A QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM INVOLVING THE p-LAPLACIAN

โœ Scribed by BARTSCH, THOMAS; LIU, ZHAOLI

Book ID
120513472
Publisher
World Scientific Publishing Company
Year
2004
Tongue
English
Weight
222 KB
Volume
06
Category
Article
ISSN
0219-1997

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๐Ÿ“œ SIMILAR VOLUMES

Multiple existence of sign changing solu
Multiple existence of sign changing solutions for a nonlinear elliptic problem
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

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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.