A Detailed Study of Kirchhoff-type Critical Elliptic Equations and $p$-Sub-Laplacian Operators within the Heisenberg Group $\mathcal{H}_{n}$ Framework

Autor:	De, Subham
Rok vydání:	2023
Předmět:	Mathematics - General Mathematics Primary 35A15 35A20 35B38 35B65 35J35 35D30 35H10 35J70 Secondary 35-02 35A01 35A09
Zdroj:	Int. Journal of Science and Research (IJSR), Vol. 12, Issue 12, Dec. 2023
Druh dokumentu:	Working Paper
DOI:	10.21275/SR231130204147
Popis:	This article presents a comprehensive study of \textit{Kirchhoff-type Critical Elliptic Equations} involving $p$-sub-Laplacian Operators on the \textit{Heisenberg Group} $\mathcal{H}_{n}$. It delves into the mathematical framework of Heisenberg Group, and explores their Spectral Properties. A significant focus is on the existence and multiplicity of solutions under various conditions, leveraging concepts like the \textit{Mountain Pass Theorem}. This work not only contributes to the theoretical understanding of such groups but also has implications in fields like Quantum Mechanics and Geometric Group Theory. Comment: 29 Pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.16205 Zobrazit plný text záznamu View this record from Arxiv