49 citations · 153 across the 14 of their papers we have counts for
15 papers
Stability of positive radial steady states for the parabolic Hénon-Lane-Emden system
Daniel Devine, Paschalis Karageorgis
When it comes to the nonlinear heat equation , the stability of positive radial steady states in the supercritical case was established in the classical paper by Gu…
Monotonic convergence of positive radial solutions for general quasilinear elliptic systems
Daniel Devine, Paschalis Karageorgis
We study the asymptotic behavior of positive radial solutions for quasilinear elliptic systems that have the form \begin{equation*} \left\{ \begin{aligned} Δ_p u &= c_1|x|^{m_1} \c…
Quasilinear elliptic inequalities with Hardy potential and nonlocal terms
Marius Ghergu, Paschalis Karageorgis, Gurpreet Singh
We study the quasilinear elliptic inequality $$ -Δ_m u - \fracμ{|x|^m}u^{m-1} \geq (I_α*u^p)u^q \quad\mbox{ in }\mathbb{R}^N\setminus \overline B_1, N\geq 1, $$ where , $q, μ\…
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…
A lower bound for the amplitude of traveling waves of suspension bridges
Paschalis Karageorgis, John Stalker
We obtain a lower bound for the amplitude of nonzero homoclinic traveling wave solutions of the McKenna--Walter suspension bridge model. As a consequence of our lower bound, all no…
Dispersion relation for water waves with non-constant vorticity
Paschalis Karageorgis
We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only kn…