On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak $L^1$ data
Analysis of PDEs
2025-07-30 v1 Functional Analysis
Abstract
The article is about an elliptic problem defined on a {\it stratified Lie group}. Both sub- and superlinear cases are considered whose solutions are guaranteed to exist in light of the interplay between the nonlinearities and the weak datum. The existence of infinitely many solutions is proved for suitable values of by using the Symmetric Mountain Pass Theorem.
Cite
@article{arxiv.2410.04418,
title = {On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak $L^1$ data},
author = {S. Sahu and D. Choudhuri and D. D. Repovš},
journal= {arXiv preprint arXiv:2410.04418},
year = {2025}
}