Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent
Jia-Feng Liao ; Jiu Liu ; Peng Zhang ; Chun-Lei Tang
Annales Polonici Mathematici, Tome 116 (2016), p. 273-292 / Harvested from The Polish Digital Mathematics Library
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We study the following singular elliptic equation with critical exponent ⎧-Δu=Q(x)u2*-1+λu-γ in Ω, ⎨u > 0 in Ω, ⎩u = 0 on ∂Ω, where Ω⊂ℝN (N≥3) is a smooth bounded domain, and λ > 0, γ ∈ (0,1) are real parameters. Under appropriate assumptions on Q, by the constrained minimizer and perturbation methods, we obtain two positive solutions for all λ > 0 small enough.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:280548 
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     author = {Jia-Feng Liao and Jiu Liu and Peng Zhang and Chun-Lei Tang},
     title = {Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent},
     journal = {Annales Polonici Mathematici},
     volume = {116},
     year = {2016},
     pages = {273-292},
     zbl = {06586888},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3606-10-2015}
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Jia-Feng Liao; Jiu Liu; Peng Zhang; Chun-Lei Tang. Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent. Annales Polonici Mathematici, Tome 116 (2016) pp. 273-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3606-10-2015/