Vitaly Moroz

activity

20032024

most citedGroundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics

890 citations · 3k across the 39 of their papers we have counts for

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Showing 2003 · math.APShow all

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math.AP2003★ 15 cited

A critical phenomenon for sublinear elliptic equations in cone-like domains

Vladimir Kondratiev, Vitali Liskevich, Vitaly Moroz +1

We study positive supersolutions to an elliptic equation $(*)$ : $- Δ u = c ∣ x ∣^{- s} u^{p}$ , $p, s \in R$ in cone-like domains in $R^{N}$ ( $N \geq 2$ ). We prove that in the sublinear case…

math.AP2003★ 36 cited

Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains

Vladimir Kondratiev, Vitali Liskevich, Vitaly Moroz

We study the problem of the existence and nonexistence of positive solutions to a superlinear second-order divergence type elliptic equation with measurable coefficients $(*)$ : $-\…