3 papers
math.AP2026
Bifurcation and multiplicity results for critical Grushin-Choquard problems
Suman Kanungo, Pawan Kumar Mishra, Giovanni Molica Bisci
We consider the following nonlocal Brézis-Nirenberg type critical Choquard problem involving the Grushin operator \begin{equation*} \left\{ \begin{aligned} -Î_γ& u =λu + \left(…
math.AP2026
Critical Ambrosetti-Prodi type problems on Carnot groups
Suman Kanungo, Pawan Kumar Mishra
In this paper, we investigate a class of critical Ambrosetti-Prodi type problems involving the sub-Laplacian on a Carnot group. Specifically, we consider \[ \left\{ \begin{aligned}…
math.AP2025
Nonlocal problem with critical exponential nonlinearity of convolution type: A non-resonant case
Suman Kanungo, Pawan Kumar Mishra
In this paper, we study the following class of weighted Choquard equations \begin{align*} -Îu =λu + \Bigg(\displaystyle\int\limits_Ω\frac{Q(|y|)F(u(y))}{|x-y|^μ}dy\Bigg) Q(|x|)…