Konstantinos T. Gkikas

collaborators

2 papers

math.AP2017

The spherical p-harmonic eigenvalue problem in non-smooth domains

Konstantinos Gkikas, Laurent Véron

We prove the existence of p-harmonic functions under the form u(r, $σ$ ) = r -- $β$ $ω$ ( $σ$ ) in any cone C S generated by a spherical domain S and vanishing on $\partial$ C S. We prov…

math.AP2017

Boundary Singularities on a Wedge-like Domain of a Semilinear Elliptic Equation

Konstantinos T. Gkikas

Let $n \geq 2$ and $Ω \subset R^{n + 1}$ be a Lipschitz wedge- like domain . We construct positive weak solutions of the problem $Δ u + u^{p} = 0 in Ω,$ which van…