Normalized solutions to Born-Infeld and quasilinear problems
Analysis of PDEs
2023-12-27 v1
Abstract
The paper concerns the existence of normalized solutions to a large class of quasilinear problems, including the well-known Born-Infeld operator. In the mass subcritical cases, we study a global minimization problem and obtain a ground state solution for a -type operator which implies the existence of solutions to the Born-Infeld problem. We also deal with the mass critical and mass supercritical cases for quasilinear problems involving the -type operator.
Cite
@article{arxiv.2312.15025,
title = {Normalized solutions to Born-Infeld and quasilinear problems},
author = {Laura Baldelli and Jarosław Mederski and Alessio Pomponio},
journal= {arXiv preprint arXiv:2312.15025},
year = {2023}
}