K. Gkikas

activity

20122025

most citedSemilinear elliptic Schrödinger equations with singular potentials and absorption terms

3 citations · 10 across the 19 of their papers we have counts for

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Showing 2024 · math.APShow all

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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 Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities

Konstantinos T. Gkikas, Miltiadis Paschalis

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