Paschalis Karageorgis

activity

20052011

most citedSharp bounds on 2m/r for static spherical objects

49 citations · 88 across the 8 of their papers we have counts for

collaborators

Showing 2007Show all

3 papers · 1 filter

math.AP2007★ 31 cited

Supercritical biharmonic equations with power-type nonlinearity

Alberto Ferrero, Hans-Christoph Grunau, Paschalis Karageorgis

The biharmonic supercritical equation $Δ^{2} u = ∣ u ∣^{p - 1} u$ , where $n > 4$ and $p > (n + 4) / (n - 4)$ , is studied in the whole space $R^{n}$ as well as in a modified form with $λ (1 + u)^{p}$ …

math.AP2007★ 2 cited

Stability and intersection properties of solutions to the nonlinear biharmonic equation

Paschalis Karageorgis

We study the positive, regular, radially symmetric solutions to the nonlinear biharmonic equation $Δ^{2} ϕ = ϕ^{p}$ . First, we show that there exists a critical value $p_{c}$ , depending o…

gr-qc2007★ 49 cited

Sharp bounds on 2m/r for static spherical objects

Paschalis Karageorgis, John G. Stalker

Sharp bounds are obtained, under a variety of assumptions on the eigenvalues of the Einstein tensor, for the ratio of the Hawking mass to the areal radius in static, spherically sy…