K. Gkikas

collaborators

3 papers

math.AP2025

Elliptic SchrÃ¶dinger equations with gradient-dependent nonlinearity and Hardy potential singular on manifolds

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Let $I^c ◯ \subset R^{N}$ ( $N \geq 3$ ) be a $C^{2}$ bounded domain and $I^£ \subset I^c ◯$ is a $C^{2}$ compact boundaryless submanifold in $R^{N}$ of dimension $k$ , $0\leq k < N-…

math.AP2024

Ancient solutions to the Allen Cahn equation in catenoids

Konstantinos T. Gkikas

Let $N \geq 2$ and $F : R^{N} \to R$ be the unique increasing radially symmetric function satisfying the minimal surface equation for graphs with the initial condition…

math.AP2024

Semilinear SchrÃ¶dinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities

Konstantinos T. Gkikas, Miltiadis Paschalis

Let $I^c ◯ \subset R^{N}$ ( $N \geq 3$ ) be a bounded $C^{2}$ domain and $I^£ \subset \partial I^c ◯$ be a compact $C^{2}$ submanifold of dimension $k$ . Denote the distance from $I^£$ by $d_{I^} £$ …