Variational problems with linear growth in dimension 1

　　This lecture is based on a joint work with Jean Bourgain.I will present new estimates for the Laplacian,for the div - curl system,for circulation integrals,

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A Bahri-Lions Theorem and the Brezis-Nirenberg critical exponent problem revisited

　　The following topics will be talked: 1.A Bahri-Lions Theorem revisited; 2.Perturbed 4th order elliptic equation; 3.Brezis-Nirenberg critical exponent proble

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Turing patterns and standing waves of FitzHugh-Nagumo type systems

　　There are many interesting patterns observed in activator-inhibitor systems,in which the flow in general may not be order-preserving.A well-known model is F

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Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Applica- tion to Figure

　　Using the Maslov index theory in symplectic geometry,we build up some stability criteria for symmetric periodic orbits in a Hamiltonian system,which is moti

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Resonance and Landesman-Lazer condition for some Fully Nonlinear Elliptic Equations

　　In this talk we consider the Dirichlet boundary value problem F(D2u,Du,u,x) + λu = f(x,u) in Ω,u = 0 on (e)Ω,(1) where λ ∈ R,Ω(∈)RN is a regular boun

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Variational problems with linear growth in dimension 1

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