M. Ghergu

activity

20052023

most citedOn a class of sublinear singular elliptic problems with convection term

61 citations · 227 across the 36 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.AP2021

Nonlinear Inequalities with Double Riesz Potentials

Marius Ghergu, Zeng Liu, Yasuhito Miyamoto +1

We investigate the nonnegative solutions to the nonlinear integral inequality $u \geq I_{α} * ((I_{β} * u^{p}) u^{q})$ a.e. in $R^{N}$ , where $α, β \in (0, N)$ , $p, q > 0$ and…

math.AP2021★ 1 cited

Fujita type results for quasilinear parabolic inequalities with nonlocal terms

Roberta Filippucci, Marius Ghergu

In this paper we investigate the nonexistence of nonnegative solutions of parabolic inequalities of the form $$\begin{cases} &u_t \pm L_\mathcal A u\geq (K\ast u^p)u^q \quad\mbox{…

math.AP2021

Polyharmonic inequalities with nonlocal terms

Marius Ghergu, Yasuhito Miyamoto, Vitaly Moroz

We study the existence and non-existence of classical solutions for inequalities of type $$ \pm Δ^m u \geq \big(Ψ(|x|)*u^p\big)u^q \quad\mbox{ in } {\mathbb R}^N (N\geq 1). $$ Here…