Prescribed energy solutions to some scaled problems via a scaled Nehari manifold
Analysis of PDEs
2025-03-19 v1
Abstract
We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Nehari manifold. Applications are given to Schr\"{o}dinger--Poisson--Slater type equations.
Cite
@article{arxiv.2503.13648,
title = {Prescribed energy solutions to some scaled problems via a scaled Nehari manifold},
author = {Kanishka Perera and Kaye Silva},
journal= {arXiv preprint arXiv:2503.13648},
year = {2025}
}