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Multiple positive solutions for a class of quasi-linear elliptic equations involving concave-convex nonlinearities and Hardy terms

โœ Scribed by Tsing-San Hsu

Book ID
115021696
Publisher
Springer International Publishing AG
Year
2011
Tongue
English
Weight
269 KB
Volume
2011
Category
Article
ISSN
1687-2762

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Multiple positive solutions for -Laplace
Multiple positive solutions for -Laplace elliptic equations involving concaveโ€“convex nonlinearities and a Hardy-type term
โœ Li Wang; Qiaoling Wei; Dongsheng Kang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 278 KB

where โ„ฆ โŠ‚ R N is a bounded domain such that 0 โˆˆ โ„ฆ, 1 < q < p, ฮป > 0, ยต < ฮผ, f and g are nonnegative functions, ฮผ = ( N-p p ) p is the best Hardy constant and p \* = Np N-p is the critical Sobolev exponent. By extracting the Palais-Smale sequence in the Nehari manifold, the existence of multiple posi