3 papers
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.AP2024
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*} -Δu =λu + \Bigg(\displaystyle\int\limits_Ω\frac{Q(|y|)F(u(y))}{|x-y|^μ}dy\Bigg) Q(|x|)f(u)…
math.AP2018
Solutions concentrating around the saddle points of the potential for Schrödinger equations with critical exponential growth
J. Zhang, J. M. do Ó, P. K. Mishra
In this paper, we deal with the following nonlinear Schrödinger equation where has critical growth of Trudinger-Moser type.…