S. Lyakhova

most citedPositive solutions to nonlinear p-Laplace equations with Hardy potential in exterior domains

38 citations · 38 across the 1 of their papers we have counts for

collaborators

2 papers

math.AP2006★ 38 cited

Positive solutions to nonlinear p-Laplace equations with Hardy potential in exterior domains

Vitali Liskevich, Sofya Lyakhova, Vitaly Moroz

We study the existence and nonexistence of positive (super) solutions to the nonlinear $p$ -Laplace equation $- Δ_{p} u - \frac{μ}{∣ x ∣ ^{p}} u^{p - 1} = \frac{C}{∣ x ∣ ^{σ}} u^{q}$ in exterior domains o…

math.AP2005

Positive solutions to singular semilinear elliptic equations with critical potential on cone-like domains

Vitali Liskevich, Sofya Lyakhova, Vitaly Moroz

We study the existence and nonexistence of positive (super-)solutions to a singular semilinear elliptic equation $- \nabla \cdot (∣ x ∣^{A} \nabla u) - B ∣ x ∣^{A - 2} u = C ∣ x ∣^{A - σ} u^{p}$ in cone--…