# Acta Mathematica Sinica, English Series

Acta Mathematica Sinica, English Series > 1999 > 15 > 1 > 115-129

*L*

^{2}(ℝ) initial data.

Acta Mathematica Sinica, English Series > 1999 > 15 > 1 > 21-24

Acta Mathematica Sinica, English Series > 1999 > 15 > 1 > 81-92

*G*be a finite group and

*k*a field of characteristic

*p*> 0. In this paper we consider the support variety for the cohomology module

*Ext*

_{kG}

^{*}(

*M, N*) where

*M*and

*N*are

*kG*-modules. It is the subvariety of the maximal ideal spectrum of

*H**(

*G, k*) of the annihilator of the cohomology module. For modules in the principal block we show that that the variety is contained in the intersections of the varieties...

Acta Mathematica Sinica, English Series > 1999 > 15 > 1 > 93-114

*D*a smooth divisor on $$\overline M $$ . If

*E*is a rank 2 holomorphic vector bundle on $$\overline M $$ with a stable parabolic structure along

*D*, we prove the existence of a metric on $$E'{\text{ = }}E|_{\overline M \backslash D} $$ (compatible with the parabolic structure)...

Acta Mathematica Sinica, English Series > 1999 > 15 > 1 > 53-80

Acta Mathematica Sinica, English Series > 1999 > 15 > 1 > 25-52

*p*-energy functionals, consisting of continuous maps between Riemannian manifolds subject to a Dirichlet boundary condition or a homotopy condition. We show that if

*p*is not an integer, then any such weak limit is a strong limit and, in particular, a stationary

*p*-harmonic map which is

*C*

^{1,α}continuous away from a closed subset of the...

Acta Mathematica Sinica, English Series > 1999 > 15 > 1 > 11-20

Acta Mathematica Sinica, English Series > 1999 > 15 > 1 > 1-10

Acta Mathematica Sinica, English Series > 1999 > 15 > 1 > 131-144

*p*-subgroups. (2) all non-abelian simple groups

*T*whose automorphism group acts 2-transitively on one of the sets of Sylow

*p*-subgroups of

*T*. (3) all finite groups which are 2-transitive on all their sets of Sylow subgroups.

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 569-574

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 471-484

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 515-524

*H*-Galois extensions with the normal basis property over a fixed commutative ring

*B*for a finite Hopf algebra

*H*. The result is that when

*H*is cocommutative, then the above isomorphic classes and the 2-nd cohomology group

*H*

^{2}(

*L**,

*U*) are isomorphic as groups under the product defined in this paper, where

*L*=

*B*∝

*H, L**=Hom

_{ B }(

*L, B*).

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 535-548

*C*-wellposedness of the complete second order abstract...

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 455-470

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 561-568

*A*-module is a direct sum of a trivial module and a nosingular module, and we also give the structure of nonsingular module over infinite dimensional simple Novikov algebras of types (II) and (III) over a field

*F*of Characteristic 0.

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 555-560

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 507-514

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 485-506

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 525-534

Acta Mathematica Sinica, English Series > 1999 > 15 > 4 > 549-554

*u*

_{t}=Δ

*u*,

*v*

_{t}=Δ

*v*in

*B*

_{R}×(0,

*T*) with the Neumann boundary conditions

*εu/εη*=

*e*

^{v}, εv/εη=

*e*

^{u}on

*S*

_{R}×[0,

*T*). The exact blow-up rates are established. It is also proved that the blow-up will occur only on the boundary.