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- University of WalesGB49 papers
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5 papers · 1 filter
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…
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…
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…
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 , , in , , with a singul…
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…