3 papers
math.AP2026
Critical Quasilinear Schrödinger Equations on the Heisenberg Group: Existence and Nonexistence
Ankit Mishra, Divya Goel
We study the quasilinear Schrödinger equation \begin{align*} -Δ_{\mathbb{H}} u +V(ξ)u-Δ_{\mathbb{H}} (\left|u\right|^{2α})\left|u\right|^{2α-2} u= λ\left|u\right|^{q-2}u + \left|u\…
math.AP2026
Quasilinear Schrödinger Critical Problem on the Heisenberg group \(\mathbb{H}^N\)
Ankit Mishra, Divya Goel
We study the existence of standing wave solutions for the following quasilinear Schrödinger equations with critical growth on the Heisenberg group $$ -Δ_{\mathbb{H}} u +V(ξ)u-Δ_{\m…
math.AP2026
Positive and nodal solutions for a parametric quasilinear -sub-Laplacian problem with critical exponential growth on the Heisenberg group
Ankit Mishra, Sarika Goyal, Divya Goel
In this article, we investigate the following modified quasilinear equation with parameter driven by the -subLaplacian: \begin{align*} \begin{cases} -Δ_Q u - Δ_Q\bigl(|u|^{2α}\b…