Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

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

100%

Liao J.-F., Liu J., Zhang P., Tang C.-L.

Annales Polonici Mathematici

2016

tom 116

nr 3

273-292

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Liao J.-F.

1 Liu J.

1 Tang C.-L.

1 Zhang P.

1 2016

Wyniki wyszukiwania

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