Phuoc‐Tai Nguyen

collaborators

2 papers

math.AP2023

Semilinear elliptic equations involving fractional Hardy operators

Huyuan Chen, Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Our aim in this article is to study semilinear elliptic equations involving a fractional Hardy operator, an absorption and a Radon source in a weighted distributional sense. We sho…

math.AP2014

Elliptic equations with nonlinear absorption depending on the solution and its gradient

Moshe Marcus, Phuoc-Tai Nguyen

We study positive solutions of equation (E1) $- Δ u + u^{p} ∣\nabla u ∣^{q} = 0$ ( $0 \leq p$ , $0 \leq q \leq 2$ , $p + q > 1$ ) and (E2) $- Δ u + u^{p} + ∣\nabla u ∣^{q} = 0$ ( $p > 1$ , $1 < q \leq 2$ ) in a smoot…