61 citations · 227 across the 36 of their papers we have counts for
39 papers
Steady state solutions for the Gierer-Meinhardt system in the whole space
Marius Ghergu
We are concerned with the study of positive solutions to the Gierer-Meinhardt system $$ \begin{cases} \displaystyle -Δu+λu=\frac{u^p}{v^q}+ρ(x) &\quad\mbox{ in }\mathbb{R}^N\, , N\…
Elliptic inequalities with nonlinear convolution and Hardy terms in cone-like domains
Marius Ghergu, Zhe Yu
We study the inequality in an unbounded cone () generated by a subdomain of the…
Higher order evolution inequalities with nonlinear convolution terms
Roberta Filippucci, Marius Ghergu
We are concerned with the study of existence and nonexistence of weak solutions to $$ \begin{cases} &\displaystyle \frac{\partial^k u}{\partial t^k}+(-Δ)^m u\geq (K\ast |u|^p)|u|^q…
Nonlinear Inequalities with Double Riesz Potentials
Marius Ghergu, Zeng Liu, Yasuhito Miyamoto +1
We investigate the nonnegative solutions to the nonlinear integral inequality a.e. in , where , and…
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 $$\begin{cases} &u_t \pm L_\mathcal A u\geq (K\ast u^p)u^q \quad\mbox{…
Polyharmonic inequalities with nonlocal terms
Marius Ghergu, Yasuhito Miyamoto, Vitaly Moroz
We study the existence and non-existence of classical solutions for inequalities of type $$ \pm Δ^m u \geq \big(Ψ(|x|)*u^p\big)u^q \quad\mbox{ in } {\mathbb R}^N (N\geq 1). $$ Here…