6 citations · 18 across the 25 of their papers we have counts for
25 papers
Existence and Asymptotic Behavior of Normalized Ground States for a Weighted Elliptic System with Caffarelli--Kohn--Nirenberg Critical Exponent
Asmita Rai, Divya Goel
In this paper, we study the coupled singular weighted elliptic system $$\left\{ \begin{aligned} -\operatorname{div}(|x|^{-2a}\nabla u)+λ_1 \frac{u}{|x|^{2a}}&=βp\frac{|v|^q|u|^{p-2…
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\…
Normalized Solutions of the -Supercritical NLS Equation on Noncompact Metric Graphs with a Short-Range Potential
Archana Prajapati, Divya Goel
We are concerned with the existence of normalized solutions to the -supercritical nonlinear Schrödinger equation on a noncompact metric graph , \[ \begin{cases} -u''+W(x)u+…
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…
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…
Normalized Solutions for a Weighted Laplacian Problem with the Caffarelli-Kohn-Nirenberg Critical Exponent
Divya Goel, Asmita Rai
This article establishes the existence and multiplicity of normalized solutions to the weighted nonlinear Schrödinger-type equation governed by the Caffarelli-Kohn-Nirenberg operat…