【摘要】 设Ω是Rm（m≥2）中的一个有界区域，其边界足够光滑。本文旨在给出散度形式二阶椭圆算子-·（A·）的Neumann本征值的一个上界，该上界除了与维数m及系数张量A的迹trA有关外，仅依赖于区域Ω的体积．更多还原

【Abstract】 Let Ω be a bounded dornain in Rm， m≥2, with sufficiently smooth boundary. The aim of thispaper is to give an upper bound for the Neumann eigenvalue of second-order elliptic operators - · (A ·) with the divergence form. Our bound depends on the volume of Ω, except for the dimension m and trA,the trace of the coefficient tensor A.更多还原