A global compactness result with applications to a Hardy-Sobolev critical elliptic system involving coupled perturbation terms
LS Wang, T Yang, XL Yang - Advances in Nonlinear Analysis, 2022 - degruyter.com
In this article, we study a Hardy-Sobolev critical elliptic system involving coupled
perturbation terms:(0.1)− Δ u+ V 1 (x) u= η 1 η 1+ η 2∣ u∣ η 1− 2 u∣ v∣ η 2∣ x′∣+ α α+ …
perturbation terms:(0.1)− Δ u+ V 1 (x) u= η 1 η 1+ η 2∣ u∣ η 1− 2 u∣ v∣ η 2∣ x′∣+ α α+ …
On a critical elliptic system with concave–convex nonlinearities
R Echarghaoui, Z Zaimi - Rendiconti del Circolo Matematico di Palermo …, 2024 - Springer
In this paper, we consider the following elliptic system involving critical Sobolev and Hardy-
Sobolev exponents-Δ u= 2 α 2∗| u| α-2 u| v| β+| u| 2∗(s)-2 u| x| s+ a (x)| u| q-2 u in Ω,-Δ v= 2 …
Sobolev exponents-Δ u= 2 α 2∗| u| α-2 u| v| β+| u| 2∗(s)-2 u| x| s+ a (x)| u| q-2 u in Ω,-Δ v= 2 …