一类椭圆型半变分不等式解的存在性(英文)

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.     

一类含多奇性项的Grushin型算子方程解的渐近性质

本文研究了一类含多个奇性项的Grushin型算子方程非平凡解的渐近性质问题.当方程的非线性项满足临界指数增长条件时,利用Moser迭代方法和分析技巧,获得了方程的非平凡解在奇点处的渐近性质,推广了Laplace算子的相关结果.     

Synthesis and Crystal Structure of [NdCl_5(THF)]~(2-) [HO-4,6-di-~tBu-C_6H_2-2-CH_2{CH(~i PrNCHCHN)}]_2~ ·THF

The title complex 1·THF has been synthesized by the reaction of [HO-4,6-di-tBu- C6H2-2-CH2{CH(iPrNCHCHN)}]Cl with NdCl3 in a 2:1 molar ratio in THF, and characterized by single-crystal X-ray diffraction. It crystallizes in monoclinic, space group P21/c with a = 9.6501(14), b = 16.393(2), c = 36.745(6) , β = 97.444(4)o, V = 5763.7(15) 3, Mr = 1124.69, Z = 4, Dc = 1.296 g/cm3, μ(MoKα) = 1.175 mm-1, F(000) = 2348, the final R = 0.0729 and wR = 0.1762 for 8735 observed reflections with I > 2σ(I). Complex 1 consists of an anion [NdCl5(THF)]2- and two cations [HO-4,6-di-tBu-C6H2-2-CH2{CH(iPrNCHCHN)}]2 to form a layer structure by the interconnection of anions and cations via hydrogen bonding. The central metal Nd in the anionic unit is coordinated by five Cl atoms and one oxygen atom from solvated THF molecule assuming a distorted octahedral geometry.     

超线性分数次薛定谔方程无穷多解的存在性（英文）

本文研究了一类分数次薛定谔方程解的存在性问题.利用喷泉定理,得到了在超线性增长条件下方程存在无穷多非平凡解,并且证明了相应解的能量是无界的.本文中非线性项不满足AmbrosettiRabinowitz条件,推广了文献[12]中的结果.