A Nehari manifold method for nonvariational problems
Analysis of PDEs
2025-12-09 v2 Functional Analysis
Abstract
The aim of this paper is to extend the Nehari manifold method from the variational setting to the nonvariational framework of fixed point equations. This is achieved by constructing a radial energy functional that generalizes the standard one from the variational case. Furthermore, the solutions obtained through our method are localized in conical annular sets, which leads to the existence of multiple solutions. The abstract results are illustrated by two representative applications.
Cite
@article{arxiv.2512.05055,
title = {A Nehari manifold method for nonvariational problems},
author = {Radu Precup and Andrei Stan},
journal= {arXiv preprint arXiv:2512.05055},
year = {2025}
}
Comments
Fixed a mistake at reference [14]