Bifurcation from essential spectrum for an elliptic equation with general nonlinearity
Analysis of PDEs
2022-10-21 v2
Abstract
In this paper, based on some prior estimates, we show that the essential spectrum is a bifurcation point for an superlinear elliptic equation with only local conditions, which generalizes a series of earlier results on an open problem proposed by C. A. Stuart in 1983 [Lecture Notes in Mathematics, 1017].
Cite
@article{arxiv.2204.13292,
title = {Bifurcation from essential spectrum for an elliptic equation with general nonlinearity},
author = {Jianjun Zhang and Xuexiu Zhong and Huansong Zhou},
journal= {arXiv preprint arXiv:2204.13292},
year = {2022}
}
Comments
This paper has been accepted by Science China Mathematics