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math.DS2018
Bifurcation from Infinity and Multiplicity of the Landesman-Lazer Type Problem of Elliptic Equations
Xuewei Ju, Desheng Li, Youbin Xiong
This paper deals with the Landesman-Lazer type problem of elliptic equations associated with homogeneous Dirichlet boundary conditions. By using some dynamical arguments we derive…
math.DS2018
Global Bifurcation of Dynamical Systems and Nonlinear Evolution Equations
Luyan Zhou, Desheng Li
We establish new global bifurcation theorems for dynamical systems in terms of local semiflows on complete metric spaces. These theorems are applied to the nonlinear evolution equa…
math.DS2018
Compactly Generated Shape Index Theory and its Application to a Retarded Nonautonomous Parabolic Equation
Jintao Wang, Jinqiao Duan, Desheng Li
We establish the compactly generated shape (H-shape) index theory for local semiflows on complete metric spaces via more general shape index pairs, and define the H-shape cohomolog…