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

collaborators

Showing 2022Show all

5 papers · 1 filter

math.AP2022★ 3 cited

Semilinear elliptic equations involving power nonlinearities and hardy potentials with boundary singularities

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Let $Ω \subset R^{N}$ ( $N \geq 3$ ) be a $C^{2}$ bounded domain and $Σ \subset \partial Ω$ be a $C^{2}$ compact submanifold without boundary, of dimension $k$ , $0 \leq k \leq N - 1$ . We…

math.AP2022

Poisson Problems involving fractional Hardy operators and measures

H. Chen, K. T. Gkikas, P. T. Nguyen

In this paper, we study the Poisson problem involving a fractional Hardy operator and a measure source. The complex interplay between the nonlocal nature of the operator, the pecul…

math.AP2022

Heat and Martin kernel estimates for Schrödinger operators with critical Hardy potentials

Gerassimos Barbatis, Konstantinos T. Gkikas, Achilles Tertikas

Let $Ω$ be a bounded domain in $R^{N}$ with $C^{2}$ boundary and let $K \subset \partial Ω$ be either a $C^{2}$ submanifold of the boundary of codimension $k < N$ or a point. In this…

math.AP2022★ 3 cited

Semilinear elliptic Schrödinger equations with singular potentials and absorption terms

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Let $Ω \subset R^{N}$ ( $N \geq 3$ ) be a $C^{2}$ bounded domain and $Σ \subset Ω$ be a compact, $C^{2}$ submanifold without boundary, of dimension $k$ with $0 \leq k < N - 2$ . Put $L_…

math.AP2022

Semilinear elliptic Schrödinger equations involving singular potentials and source terms

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Let $Ω \subset R^{N}$ ( $N > 2$ ) be a $C^{2}$ bounded domain and $Σ \subset Ω$ be a compact, $C^{2}$ submanifold without boundary, of dimension $k$ with $0 \leq k < N - 2$ . Put $L_μ= Δ+…