From the 2 of 9 linked papers with an AI index.
9 papers
Normalized solutions of -supercritical NLS equations on noncompact metric graph with vanishing potential and localized nonlinearities
Archana Prajapati, Divya Goel
We study the existence of normalized solutions to the -supercritical nonlinear Schrödinger equation on a noncompact metric graph , \[ \begin{cases} -u''+W(x)u+λu=Ï(x)|u|…
Quasilinear Schrödinger Critical Problem on the Heisenberg group \(\mathbb{H}^N\)
Ankit Mishra, Divya Goel
The paper proves the existence of nontrivial standing wave solutions for a quasilinear Schrödinger equation with critical growth on the Heisenberg group by converting it to a semil…
Modified -Laplacian Problem with Parameter and Exponential Nonlinearity on the Heisenberg Group
Ankit Mishra, Sarika Goyal, Divya Goel
The paper proves the existence of positive weak solutions and least‑energy sign‑changing solutions for a modified Q‑Laplacian equation with exponential (Moser‑Trudinger) nonlineari…
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 opera…
Normalized solutions for fractional Choquard equation with critical growth on bounded domain
Divya Goel, Asmita Rai
In this work, we establish the multiplicity of positive solutions for the following critical fractional Choquard equation with a perturbation on the star-shaped bounded domain $$ \…
Normalized solution to Kirchhoff-fractional system involving critical Choquard nonlinearity
Divya Goel, Shilpa Gupta, Asmita Rai
In this article, we explore the fractional Kirchhoff-Choquard system given by $$ \left\{ \begin{array}{lr} (a+b\int_{\mathbb{R}^N}|(-Î)^{\frac{s}{2}} u|^2\;dx)(-Î)^su=λ_1u+(I_μ…