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本文研究了一类Dirichlet边界的椭圆型半变分不等式问题.利用非光滑形式的环绕定理和非光滑形式的对称山路定理,得到了在相应假设条件下此不等式问题至少有一个非平凡解和无穷多解.本文中非光滑势能在原点处关于算子+V(x)的第一正特征值λ是不完全共振的. 相似文献
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Spin-dependent transport induced by magnetization in zigzag graphene nanoribbons coupled to one-dimensional leads
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We study spin transport in a zigzag graphene nanoribbon sample with two ferromagnetic strips deposited on the two sides of the ribbon.A tight-binding Hamiltonian was adopted to describe the sample connected to two onedimensional leads.Our theoretical study shows that the resonance peaks of conductance for the spin-up and spin-down electrons are separated for the parallel configuration of the ferromagnetic strips,while they are not separated for the case of antiparallel configuration.This means that giant magnetoresistance can be produced at particular energies by altering the configurations of the ferromagnetic strips,and the device can be designed as a spin filter. 相似文献
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本文结合仿微分算子理论研究了一类锥Sobolev空间上的Littlewood—Paley分解,讨论了该分解在非线性偏微分方程上的应用. 相似文献
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The calculus of pseudo-differential operators on singular spaces and theconcept of ellipti-city in operator algebras on manifolds with singularitieshave become an enormous challenge for analysists. The so-called cone algebras(with discrete and continuous asymptotics) are investigated by manymathematicians, especially by B. W. Schulze, who developed and enrichedcone and edge pseudo-differential calculus, see Schulze[4-7], Rempel and Schulze [2, 3]. In this note,we construct a cone pseudo-differentialcalculus for operators which respect conormal asymptotics of a prescribedasymptotic type. 相似文献
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提出一种基于分块速度域的迭代红外运动目标检测算法来解决传统算法计算量巨大这一难题.首先,采用二维最小均方差滤波器对红外序列图像进行滤波,获得包含弱小目标以及残差的红外序列图像.然后,通过在序列图像块的速度域上应用改进的迭代运动目标检测算法进行能量累积,从而将弱小目标的运动速度在速度域进行累积增强,达到检测弱小运动目标的目的.最后在解算出的速度值附近进行搜索,得到弱小目标运动的精确速度.利用此速度进行空域能量累积,得到叠加图像,在此图上进行目标检测.与传统方法相比较,几组实验结果显示,本文提出的方法大大缩短了检测的时间,而且本文方法的检测效果也较好. 相似文献
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本文研究了一类具有凸凹非线性项与Sobolev-Hardy次临界指标的椭圆方程.利用Lusternik-Schnirelmann畴数理论以及Nehari流形结构与纤维丛映射的关系,改善了方程在Sobolev空间W_a~(1,p)(R~N)中正解的存在性与多重性. 相似文献