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• # Artykuł - szczegóły

## Annales Polonici Mathematici

2016 | 116 | 3 | 273-292

## Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent

EN

### Abstrakty

EN
We study the following singular elliptic equation with critical exponent
⎧$-Δu = Q(x)u^{2*-1} + λu^{-γ}$ in Ω,
⎨u > 0 in Ω,
⎩u = 0 on ∂Ω,
where $Ω ⊂ ℝ^{N}$ (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.

273-292

wydano
2016

### Twórcy

autor
• School of Mathematics and Statistics, Southwest University, 400715 Chongqing, People's Republic of China
• School of Mathematics, and Computational Science, Zunyi Normal College, 563002 Zunyi, Guizhou, People's Republic of China
autor
• School of Mathematics and Statistics, Southwest University, 400715 Chongqing, People's Republic of China
autor
• School of Mathematics, and Computational Science, Zunyi Normal College, 563002 Zunyi, Guizhou, People's Republic of China
autor
• School of Mathematics and Statistics, Southwest University, 400715 Chongqing, People's Republic of China