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Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝN

✍ Scribed by Huei-li Lin

Book ID
115021710
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
296 KB
Volume
2012
Category
Article
ISSN
1687-2762

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Multiple positive solutions for -Laplace
Multiple positive solutions for -Laplace elliptic equations involving concave–convex nonlinearities and a Hardy-type term
✍ Li Wang; Qiaoling Wei; Dongsheng Kang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 278 KB

where Ω ⊂ R N is a bounded domain such that 0 ∈ Ω, 1 < q < p, λ > 0, µ < μ, f and g are nonnegative functions, μ = ( 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