Vitali Liskevich

most citedPotential estimates for quasi-linear parabolic equations

2 citations · 2 across the 3 of their papers we have counts for

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math.AP2012

Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls

Marius Ghergu, Vitali Liskevich, Zeev Sobol

We study the existence and nonexistence of positive singular solutions to second-order non-divergence type elliptic inequalities with measurable coefficients. We prove the existenc…

math.AP2010

Singular solutions to the heat equations with nonlinear absorption and Hardy potentials

Vitali Liskevich, Andrey Shishkov, Zeev Sobol

We study the existence and nonexistence of singular solutions to the equation $u_{t} - Δ u - \frac{κ}{∣ x ∣ ^{2}} u + ∣ x ∣^{α} u ∣ u ∣^{p - 1} = 0$ , $p > 1$ , in $R^{N} \times [0, \infty)$ , $N \geq 3$ , with a singul…

math.AP2010★ 2 cited

Potential estimates for quasi-linear parabolic equations

Vitali Liskevich, Igor I. Skrypnik, Zeev Sobol

For a class of divergence type quasi-linear degenerate parabolic equations with a Radon measure on the right hand side we derive pointwise estimates for solutions via nonlinear Wol…