4 papers
Solutions for Strongly Monotone Operator Equations in Riesz Spaces
Xian Xu, Baoxia Qin
This paper is devoted to the study of solutions for a class of operator equations governed by strongly monotone operators on real Riesz spaces continuously embedded into Banach lat…
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…
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…
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…