Downloads: 15 | Views: 390 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Research Paper | Mathematics | India | Volume 12 Issue 12, December 2023 | Popularity: 5.8 / 10
A Detailed Study of Kirchhoff-type Critical Elliptic Equations and p-Sub-Laplacian Operators within the Heisenberg Group Hn Framework
Subham De
Abstract: This article presents a comprehensive study of Kirchho?-type Critical Elliptic Equations involving p-sub-Laplacian Operators on the Heisenberg Group Hn. It delves into the mathematical framework of Heisenberg Group, and explores their Spectral Properties. A signifcant focus is on the existence and multiplicity of solutions under various conditions, leveraging concepts like the Mountain Pass Theorem. This work not only contributes to the theoretical understanding of such groups but also has implications in felds like Quantum Mechanics and Geometric Group Theory.
Keywords: Heisenberg Group, sub-Laplacian, Twisted laplacian, Essential Self-Adjointness, Spectrum, Essential Spectra, p-sub-Laplacian, Kirchho?-type Critical Elliptic Equations, Palais-Smale Condition
Edition: Volume 12 Issue 12, December 2023
Pages: 7 - 35
DOI: https://www.doi.org/10.21275/SR231130204147
Make Sure to Disable the Pop-Up Blocker of Web Browser
Similar Articles
Downloads: 5 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Research Paper, Mathematics, India, Volume 11 Issue 3, March 2022
Pages: 227 - 231On Conjugate Graphs of Dihedral Group
Chinmayee Kumar, Kuntala Patra
Downloads: 5 | Weekly Hits: ⮙1 | Monthly Hits: ⮙2
Research Paper, Mathematics, India, Volume 11 Issue 5, May 2022
Pages: 1965 - 1969Conjugate Graph and Some Properties of the SL(2,3) Group
Yangertola, Kuntala Patra
Downloads: 104
Research Paper, Mathematics, Zimbabwe, Volume 3 Issue 5, May 2014
Pages: 1919 - 1923Variational Methods in a Thin Shell Problem
Mangwiro Magodora, TW Mapuwei, J Masanganise, K Basira, CJ Chagwiza
Downloads: 118
Research Paper, Mathematics, India, Volume 5 Issue 3, March 2016
Pages: 1622 - 1624On e-Chromatic Number of Adjacency Matrix of a Dutchwindmill Graph D3m and Central Graphs
S. Uma Maheswari, Dr. K. Indirani
Downloads: 138
Research Paper, Mathematics, India, Volume 5 Issue 12, December 2016
Pages: 249 - 254Nullity and Energy Bounds of Central Graph of Smith Graphs
Usha Sharma, Renu Naresh