三维静态Landau-Lifshitz方程组多重正则解的存在性

对三维Landau-Lifshitz方程u×(-△u+λ(u,n)n)=o,|u|=1,x∈ΩR3的Dirichlet常边值问题,证明了当λ＞λ1时,存在两个正则解,当λ＞max(λ1,λ*)时,存在三个正则解,除常数外,还有一个是非轴对称极小解,另一个是轴对称解,其中λ1是-△算子齐次Dirichlet问题的第一特征值,     

A MINIMIZATION PROBLEM ASSOCIATED WITH TRACE INEQUALITY

ＡＭＩＮＩＭＩＺＡＴＩＯＮＰＲＯＢＬＥＭＡＳＳＯＣＩＡＴＥＤＷＩＴＨＴＲＡＣＥＩＮＥＱＵＡＬＩＴＹＹａｎＳｈｕｓｅｎ（严树森）（Ｄｅｐｔ．ｏｆＡｐｐｌ．Ｍａｔｈ．，ＳｏｕｔｈＣｈｉｎａＵｎｉｖ．ｏｆＴｅｃｈ．，Ｇｕｏｎｇｚｈｏｕ５１０６４１，Ｃｈｉｎ...     

具有临界Sobolev指数的拟线性椭圆型方程的一个全局紧性结果

本文得到了下面泛函的（ＰＳ）。序列的一个全局紧性结果：其中Ω是ＲＮ中的一个有界区域，２≤ｐ＜Ｎ，ｐ＊＝ｐＮ／（Ｎ－ｐ）．     

A MINIMIZATION PROBLEM ON EXTERIOR DOMAIN

In this paper, using the decay estimates for the solution of semilinear elliptic equation, we obtain the existence of a minimun for a minimization problem with nonzero data in the exterior domain.     

Fountain theorem over cones and applications

In this paper, we establish fountain theorems over cones and apply it to the quasilinear elliptic problem{-pu = λ|u|q-2u + μ|u| γ-2 u, x ∈Ω,u = 0, x ∈Ω,(1)to show that problem (1) possesses infinitely many solutions, where 1 p N, 1 q p γ, ΩRN is a smooth bounded domain and λ, μ∈ R.     

BOUNDARY VALUE PROBLEMS FOR THE EQUILIBRIUM SYSTEMS OF FERRO-MAGNETIC CHAIN

ＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＳＦＯＲＴＨＥＥＱＵＩＬＩＢＲＩＵＭＳＹＳＴＥＭＳＯＦＦＥＲＲＯ－ＭＡＧＮＥＴＩＣＣＨＡＩＮＳｈｅｎＹａｏｔｉａｎ（沈尧天）ＹａｎＳｈｕｓｅｎ（严树森）（Ｄｅｐｔ：ｏｆＡｐｐｌ．Ｍａｔｈ，ＳｏｕｔｈＣｈｉｎａＵ...     

ON THE EXISTENCE OF INFINITELY MANY CRITICAL POINTS OF THE EVEN FUNCTIONAL integral from n=Q to (F(x,u,Du)) integral from n=■Q to (G(x,u))

In this paper we deal with the existence of infinitely many critical points of the even functional I(u)=integral from n=Q to (F(x,u,Du)) integral from n=(?)Q to (G(x,u)), u∈W~(1,p)(Ω),where G(x, u)=integral from n=o to u (g(x,t)dt), under the weak structure conditions on F(x, u, q) by the Mountain Pass Lemma.     

EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON R~n WITH NATURAL GROWTH CONDITIONS

In this paper, we get the existence result of the nontrivial weak solution (λ, u) of the following eigenvalue problem with natural growth conditions.     

INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY

We study the following elliptic problem:{-div(a(x)Du)=Q(x)|u|2-2u+λu x ∈Ω ,u=0 on ΩUnder certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational method.     

三维静态Landau-Lifshitz方程组多重正则解的存在性

对三维Ｌａｎｄａｕ－Ｌｉｆｓｈｉｔｚ方程常边值问题,证明了当λ＞λ１时,存在两个正则解,当λ＞ｍａｘ（λ１,λ）时,存在三个正则解,除常数外,还有一个是非轴对称极小解,另一个是轴对称解,其中λ１是－△算子齐次Ｄｉｒｉｃｈｌｅｔ问题的第一特征值,