3 papers
math.FA2026
Abstract Indefinite Problems in Riesz Spaces with Its Applications
Xian Xu, Baoxia Qin
This paper investigates the existence of critical points for functionals defined on a Hilbert space which is continuously embedded into a Banach lattice . A lattice decompos…
math.AP2024
Sign Changing Critical Points for Locally Lipschitz Functionals
Xian Xu, Baoxia Qin
In this paper, some existence results for sign-changing critical points of locally Lipschitz functionals in real Banach space are obtained by the method combining the invariant set…
math.AP2024
The Method of Invariant Sets of Descending Flow for Locally Lipschitz Functionals
Xian Xu, Baoxia Qin
In this paper, we extend the method of invariant sets of descending flow that proposed by Sun Jingxian for smooth functionals to the locally Lipschitz functionals. By this way, we…