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Nontrivial solutions for semilinear elliptic problems with Hardy-Sobolev critical exponents and a weight
Received date: 2009-09-25
Revised date: 2009-12-14
Online published: 2010-05-15
Supported by
Supported by the National Natural Science Foundation of China (10802061) and Natural Science Basic Research Plan in Shaanxi Province of China(SJ08F27)
Using linking theorem and analytic technique, we discuss the existence of nontrivial solutions for the following semilinear elliptic problem with Hardy-Sobolev critical exponents and weights - Δ u-μ u |x|2 =λu+K(x) |u|2*(s)-2u |x|s , x∈Ω; u=0, x∈Ω, where Ω is an open bounded domain of R <em>N with smooth boundary Ω and 0∈Ω, N≥5, 0<s<2,0≤μ< N-2 2 2, λ>0, and K (x) is a bounded positive function on Ω.
DOU Jing-Bo . Nontrivial solutions for semilinear elliptic problems with Hardy-Sobolev critical exponents and a weight[J]. Journal of University of Chinese Academy of Sciences, 2010 , 27(3) : 306 -313 . DOI: 10.7523/j.issn.2095-6134.2010.3.002
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