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

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019

Singular solutions of elliptic equations with iterated exponentials

Marius Ghergu, Olivier Goubet

We construct positive singular solutions for the problem $- Δ u = λ exp (e^{u})$ in $B_{1} \subset R^{n}$ ( $n \geq 3$ ), $u = 0$ on $\partial B_{1}$ , having a prescribed behaviour around t…

math.AP2019★ 26 cited

Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms

Marius Ghergu, Paschalis Karageorgis, Gurpreet Singh

We investigate the existence and nonexistence of positive solutions for the quasilinear elliptic inequality $L_\mathcal{A} u= -{\rm div}[\mathcal{A}(x, u, \nabla u)]\geq (I_α\ast u…

math.CA2019

Isoperimetric inequalities for Bergman analytic content

Stephen J. Gardiner, Marius Ghergu, Tomas Sjödin

The Bergman $p$ -analytic content ( $1 \leq p < \infty$ ) of a planar domain $Ω$ measures the $L^{p} (Ω)$ -distance between $z$ and the Bergman space $A^{p} (Ω)$ of holomorphic…