A. Szulkin

activity

20122026

most citedA simple variational approach to weakly coupled competitive elliptic systems

39 citations · 98 across the 17 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AP2020

Solutions to indefinite weakly coupled cooperative elliptic systems

Mónica Clapp, Andrzej Szulkin

We study the elliptic system \begin{equation*} \begin{cases} -Δu_1 - κ_1u_1 = μ_1|u_1|^{p-2}u_1 + λα|u_1|^{α-2}|u_2|^βu_1, \\ -Δu_2 - κ_2u_2 = μ_2|u_2|^{p-2}u_2 + λβ|u_1|^α|u_2|^{β…

math.AP2020★ 11 cited

A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent

Jarosław Mederski, Andrzej Szulkin

Let $Ω \subset R^{3}$ be a Lipschitz domain and let $S_{curl} (Ω)$ be the largest constant such that $$ \int_{\mathbb{R}^3}|\nabla\times u|^2\, dx\geq S_{\mathrm{curl}}…