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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
Estimates of solutions for the parabolic -Laplacian equation with measure via parabolic nonlinear potentials
Vitali Liskevich, Igor I. Skrypnik, Zeev Sobol
For weak solutions to the evolutional -Laplace equation with a time-dependent Radon measure on the right hand side we obtain pointwise estimates via a nonlinear parabolic potent…