They prove that the global existence or blow-up properties of solutions will depend on the "thickness" of the domain and number pq.

In recent years, the study in this direction attracts a large number of mathematicians both in China and aboard, and remarkable progress has been achieved on the local existence of classical solutions, global existence, blow-up as well as estimates on the blow-up time and blow-up set, which enrich enormously the theory of partial differential equations.

Local existence,global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.

Theory of critical exponents far from equilibrium;

The nonlinear boundary value problem of a class of p-Laplace equation involving critical exponent;

The critical exponent of nonlocal reaction diffusion systems;

In this paper,we discuss the critical branchy phenomena and critical changing trend,and infer the critical index of nonequilibrium phase transiton by using the theory of critical scales of Nonequilibrium phase transition.

Something about 〈V〉_0 in the paper shown in the title are recalculated,new counter change of the renormalization group,linearization matrix thereof and critical indices.

The critical indices β=0 44±0 01, γ=1 30±0 01, δ=3 83±0 01 are obtained by calculating the field- and temperature-dependences of magnetization.

A hexagonal crystal lattice is selected as Kadanoff group, the critical point is found using the method of renormalization group,and its corresponding critical indices is found as well.

The nonexistence of solution for some degenerate elliptic equation with critical exponents;

The renormalization group approach was applied to calculate the critical points and critical exponents of square lattice of layer with 9 sites.

The Ising-like phase transition temperature T_c and all the static and dynamic critical exponents 2β/ν,ν and z were estimated using the short-time dynamic scaling analysis.