3 papers
math.AP2026
Bifurcation of radial solutions for prescribed mean curvature equations
N. B. Zographopoulos
We prove global bifurcation results for prescribed mean curvature equations. These equations are defined on R3 and the radial solutions belonging in these branches are smooth and p…
math.AP2008
A sharp estimate and change on the dimension of the attractor for Allen-Cahn equations
Nikos I. Karachalios, Nikos B. Zographopoulos
We consider the semilinear reaction diffusion equation , in a bounded domain . We assume the standard Allen-Cahn-type nonl…
math.AP2005
On the Dynamics of a Degenerate Parabolic Equation: Global Bifurcation of Stationary States and Convergence
Nikos I. Karachalios, Nikos B. Zographopoulos
We study the dynamics of a degenerate parabolic equation with a variable, generally non-smooth diffusion coefficient, which may vanish at some points or be unbounded. We show the e…