3 citations · 8 across the 3 of their papers we have counts for
3 papers
math.FA2010★ 2 cited
Sharp Nash Inequalities on the unit sphere. The influence of symmetries
Athanase Cotsiolis, Nikos Labropoulos
In this paper both we establish the best constants for the Nash inequalities on the standard unit sphere of and we give answers on the existence o…
math.FA2009★ 3 cited
Sharp Nash inequalities on manifolds with boundary in the presence of symmetries
Athanase Cotsiolis, Nikos Labropoulos
In this paper we establish the best constant for the Trace Nash inequality on a dimensional compact Riemannian manifold in the presence of symmetr…
math.AP2009★ 3 cited
Exponential elliptic boundary value problems on a solid torus in the critical of supercritical case
Athanase Cotsiolis, Nikos Labropoulos
In this paper we investigate the behavior and the existence of positive and non-radially symmetric solutions to nonlinear exponential elliptic model problems defined on a solid tor…