In critical point theory,Clarks theorem states as follows.Let X be a Banach space,Φ∈C1(X,R).Assume Φ satisfies the(PS)condition,is even and bounded from
In 1971,Serrin proved that certain overdetermined boundary value elliptic equations,considered on underlying regular bounded domains,must have radially symm
The search for time-harmonic solutions of nonlinear Maxwell equations in the absence of charges and currents leads to the following equation {▽×(μ(x)-1▽
I will first present a result on the existence of non-trivial global minimizers of Allen-Cahn equation in dimension 8.Then I will discuss related issues on
In this talk I will discuss some problems related to solutions with polynomial growth of the following elliptic system △u = uv2,△v = vu2,u,v>0 in Rn: Usin
The genetic mechanism of earthquakes still remains puzzling even though many genetic models of earthquakes have been proposed.More and more cryptoexplosive