510 citations
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Showing 2012 · math.APShow all
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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.AP2012
Pointwise estimates for solutions of singular quasi-linear parabolic equations
Vitali Liskevich, Igor I. Skrypnik
For a class of singular divergence type quasi-linear parabolic equations with a Radon measure on the right hand side we derive pointwise estimates for solutions via the nonlinear W…
math.AP2012★ 98 cited
Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
Vitaly Moroz, Jean Van Schaftingen
We consider a semilinear elliptic problem with a nonlinear term which is the product of a power and the Riesz potential of a power. This family of equations includes the Choquard o…