@article{Li2026, 
author = {Yanfeng Li and Xuejiao Liu and Haicheng Liu},
title = {Normalized solutions to p-Laplacian equations with a potential term and mass-supercritical nonlinearities},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {6},
pages = {4131-4157},
keywords = {normalized solutions, general nonlinearities, mass supercritical, non-trapping potential},
url = {https://www.sciopen.com/article/10.3934/era.2026185},
doi = {10.3934/era.2026185},
abstract = {In this paper, we investigate the existence of normalized ground state solutions for a class of quasilinear elliptic equations. More precisely, we consider the p-Laplace equation with a prescribed        L    p  -norm constraint. The problem involves a potential function and a nonlinear term with mass supercritical growth. By employing variational methods, we aim to find solutions with a given mass, where the parameter    λ appears as a Lagrange multiplier. Under appropriate assumptions of potential and nonlinearity, we establish the existence of such solutions for any given positive mass.}
}