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Elliptic systems involving critical nonlinearities and different Hardy-type terms

✍ Scribed by Kang, Dongsheng


Book ID
125823900
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
334 KB
Volume
420
Category
Article
ISSN
0022-247X

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Multiple positive solutions for -Laplace
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where Ω βŠ‚ R N is a bounded domain such that 0 ∈ Ω, 1 < q < p, Ξ» > 0, Β΅ < ΞΌ, f and g are nonnegative functions, ΞΌ = ( 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